Chapter 8 - Practice Problems 1

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1 Chpter 8 - Prctice Problems 1 MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. A hypothesis test is to be performed. Determine the null nd lterntive hypotheses. 1) In the pst, the men running time for certin type of flshlight bttery hs been 9.6 hours. The mnufcturer hs introduced chnge in the production method nd wnts to perform hypothesis test to determine whether the men running time hs chnged s result. 1) A) H : μ = 9.6 hours H : μ > 9.6 hours C) H : μ = 9.6 hours H : μ 9.6 hours B) H : μ 9.6 hours H : μ = 9.6 hours D) H : μ 9.6 hours H : μ = 9.6 hours 2) The owner of footbll tem clims tht the verge ttendnce t gmes is over 81,1, nd he is therefore justified in moving the tem to city with lrger stdium. 2) A) H : μ, the verge ttendnce t gmes, is less thn or equl to 81,1 H : μ, the verge ttendnce t gmes, is greter thn 81,1 B) H : μ, the verge ttendnce t gmes, is less thn 81,1 H : μ, the verge ttendnce t gmes, is greter thn or equl to 81,1 C) H : μ, the verge ttendnce t gmes, is greter thn 81,1 H : μ, the verge ttendnce t gmes, is less thn or equl to 81,1 D) H : μ, the verge ttendnce t gmes, is greter thn or equl to 81,1 H : μ, the verge ttendnce t gmes, is less thn 81,1 Clssify the hypothesis test s two-tiled, left-tiled, or right-tiled. 3) At one school, the verge mount of time tht tenth-grders spend wtching television ech week is 21.6 hours. The principl introduces cmpign to encourge the students to wtch less television. One yer lter, the principl wnts to perform hypothesis test to determine whether the verge mount of time spent wtching television per week hs decresed from the previous men of 21.6 hours. 3) A) Two-tiled B) Left-tiled C) Right-tiled 4) A helth insurer hs determined tht the "resonble nd customry" fee for certin medicl procedure is $12. They suspect tht the verge fee chrged by one prticulr clinic for this procedure is higher thn $12. The insurer wnts to perform hypothesis test to determine whether their suspicion is correct. 4) A) Right-tiled B) Two-tiled C) Left-tiled SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Provide n pproprite response. 5) You wish to test the hypotheses shown below. H : μ = 4 H : μ > 4 Would you be inclined to reject the null hypothesis if the smple men turned out to be much smller thn 4? Explin your thinking. 5) 1

2 6) Robert is conducting hypothesis test concerning popultion men. The hypotheses re s follows. H : μ = 5 H : μ > 5 He selects smple of size 35 nd finds tht the smple men is 6. He then does some clcultions nd finds tht for smples of size 35, the stndrd devition of the smple mens is 3.2. Do you think tht he should reject the null hypothesis? Why or why not? 6) MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. The grph portrys the decision criterion for hypothesis test for popultion men. The null hypothesis is H : μ = μ. The curve is the norml curve for the test sttistic under the ssumption tht the null hypothesis is true. Use the grph to solve the problem. 7) A grphicl disply of the decision criterion follows. 7) Determine the rejection region. A).5 B) All z-scores tht lie to the right of C) All z-scores tht lie to the left of D)

3 8) A grphicl disply of the decision criterion follows. 8) Determine the significnce level. A).1 B) C) All z-scores tht lie to the right of D).5 SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Construct grph portrying the decision criterion for the specified hypothesis test. 9) A hypothesis test for popultion men is conducted. The hypotheses re: H : μ = μ 9) H : μ μ The significnce level is.1 nd the criticl vlues re nd Sketch norml curve displying the decision criterion. This curve will represent the norml curve for the test sttistic under the ssumption tht the null hypothesis is true. On your grph indicte the re in ech til, the criticl vlues, the rejection region, nd the nonrejection region. 1) A hypothesis test for popultion men is conducted. The hypotheses re: H : μ = μ 1) H : μ > μ The significnce level is.1 nd the criticl vlue is Sketch norml curve displying the decision criterion. This curve will represent the norml curve for the test sttistic under the ssumption tht the null hypothesis is true. On your grph indicte the re in the til, the criticl vlue, the rejection region, nd the nonrejection region. 3

4 MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. For the given hypothesis test, explin the mening of Type I error, Type II error, or correct decision s specified. 11) In the pst, the men running time for certin type of flshlight bttery hs been 9.8 hours. The 11) mnufcturer hs introduced chnge in the production method nd wnts to perform hypothesis test to determine whether the men running time hs incresed s result. The hypotheses re: H : μ = 9.8 hours H : μ > 9.8 hours Explin the mening of Type I error. A) Concluding tht μ > 9.8 hours when in fct μ = 9.8 hours B) Concluding tht μ < 9.8 hours when in fct μ > 9.8 hours C) Concluding tht μ = 9.8 hours when in fct μ > 9.8 hours D) Concluding tht μ > 9.8 hours when in fct μ > 9.8 hours 12) In 199, the verge mth SAT score for students t one school ws 5. Five yers lter, techer wnts to perform hypothesis test to determine whether the verge SAT score of students t the school hs chnged from the 199 men of 5. The hypotheses re: H : μ = 5 H : μ 5 Explin the mening of Type II error. A) Filing to reject the hypothesis tht μ = 5 when in fct μ 5 B) Concluding tht μ > 5 when in fct μ = 5 C) Concluding tht μ 5 minutes when in fct μ = 5 D) Filing to reject the hypothesis tht μ = 5 when in fct μ = 5 13) At one school, the verge mount of time tht tenth-grders spend wtching television ech week is 21.6 hours. The principl introduces cmpign to encourge the students to wtch less television. One yer lter, the principl wnts to perform hypothesis test to determine whether the verge mount of time spent wtching television per week hs decresed. The hypotheses re: H : μ = 21.6 hours H : μ < 21.6 hours Explin the mening of correct decision. A) Filing to reject the hypothesis tht μ = 21.6 hours when in fct μ = 21.6 hours OR concluding tht μ < 21.6 hours when in fct μ < 21.6 hours B) Filing to reject the hypothesis tht μ = 21.6 hours when in fct μ < 21.6 hours C) Concluding tht μ > 21.6 hours when in fct μ < 21.6 hours D) Concluding tht μ < 21.6 hours when in fct μ = 21.6 hours Clssify the conclusion of the hypothesis test s Type I error, Type II error, or correct decision. 14) At one school, the verge mount of time tht tenth-grders spend wtching television ech week is 21 hours. The principl introduces cmpign to encourge the students to wtch less television. One yer lter, the principl wnts to perform hypothesis test to determine whether the verge mount of time spent wtching television per week hs decresed. The hypotheses re: H : μ = 21 hours H : μ < 21 hours Suppose tht the results of the smpling led to nonrejection of the null hypothesis. Clssify tht conclusion s Type I error, Type II error, or correct decision, if in fct the men mount of time, μ, spent wtching television hs not decresed. 12) 13) 14) A) Type I error B) Correct decision C) Type II error 4

5 15) A helth insurer hs determined tht the "resonble nd customry" fee for certin medicl procedure is $12. They suspect tht the verge fee chrged by one prticulr clinic for this procedure is higher thn $12. The insurer wnts to perform hypothesis test to determine whether their suspicion is correct. The hypotheses re: H : μ = $12 H : μ > $12 Suppose tht the results of the smpling led to rejection of the null hypothesis. Clssify tht conclusion s Type I error, Type II error, or correct decision, if in fct the verge fee chrged by the clinic is $12. 15) A) Correct decision B) Type II error C) Type I error SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Provide n pproprite response. 16) A student performs hypothesis test for popultion men. The hypotheses re: H : μ = 1 H : μ > 1 The significnce level is.5 nd the test sttistic flls in the nonrejection region. The student writes her conclusion s follows: "The test sttistic flls in the nonrejection region so it is sfe to conclude tht the null hypothesis is true; i.e., tht μ = 1." Is this n cceptble wy to write the conclusion? If not, explin why not nd rewrite the conclusion in n cceptble wy. 16) 17) A hypothesis test for popultion men is performed t the.1 significnce level. The results re sttisticlly significnt t the.1 level. Explin the mening of the term sttisticlly significnt. Do you think tht the test sttistic fell in the rejection or nonrejection region? Do you think tht the null hypothesis ws rejected? 17) 18) A phrmceuticl compny hs new drug which relieves hedches. However, there is some indiction tht the drug my hve the side effect of incresing blood pressure. Suppose the drug compny conducts hypothesis test to determine whether the mediction rises blood pressure. The hypotheses re: H : The drug does not increse blood pressure. H : The drug increses blood pressure. Do you think tht for doctors nd ptients it is more importnt to hve smll α probbility or smll β probbility? Why? Do you think tht the phrmceuticl compny would prefer to hve smll α probbility or smll β probbility? Why? 18) MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. A hypothesis test is to be performed for popultion men with null hypothesis H : μ = μ. The test sttistic used will be z = x - μ σ/ n. Find the required criticl vlue(s). 19) α =.8 for two-tiled test. 19) A) ±2.575 B) ±1.75 C) ±1.764 D) ±

6 2) Find the criticl vlue(s) for two-tiled test with α =.2 nd drw grph tht illustrtes your nswer. A) -1.75, ) B) -2.5, 2.5 C) -2.33, 2.33 D)

7 21) Find the criticl vlue(s) for right-tiled test with α =.7 nd drw grph tht illustrtes your nswer. A) ) B) C) 1.48 D) 1.48 SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Perform hypothesis test for the popultion men. Assume tht preliminry dt nlyses indicte tht it is resonble to pply the z-test. 22) The Ntionl Wether Service sys tht the men dily high temperture for October in lrge 22) midwestern city is 56 F. A locl wether service suspects tht this vlue is not ccurte nd wnts to perform hypothesis test to determine whether the men is ctully lower thn 56 F. A smple of men dily high tempertures for October over the pst 37 yers yields x = 54 F. Assume tht the popultion stndrd devition is 5.6 F. Perform the hypothesis test t the α =.1 significnce level. 7

8 23) A mnufcturer mkes steel brs tht re supposed to hve men length of 5 cm. A retiler suspects tht the brs re running short. A smple of 56 brs is tken nd their men length is determined to be 51 cm. Using 1% level of significnce, perform hypothesis test to determine whether the popultion men is less thn 5 cm. Assume tht the popultion stndrd devition is 3.6 cm. 23) 24) A newspper in lrge midwestern city reported tht the Ntionl Assocition of Reltors sid tht the men home price lst yer ws $116,8. The city housing deprtment feels tht this figure is too low. They rndomly selected 51 home sles nd obtined smple men price of $118,9. Assume tht the popultion stndrd devition is $3,7. Using 5% level of significnce, perform hypothesis test to determine whether the popultion men is higher thn $116,8. 25) A resercher wnts to check the clim tht convicted burglrs spend n verge of 18.7 months in jil. She tkes rndom smple of 4 such cses from court files nd finds tht x = 16.7 months. Assume tht the popultion stndrd devition is nd 7.8 months. Test the null hypothesis tht μ = 18.7 t the.5 significnce level. 24) 25) MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. A one-smple z-test for popultion men is to be performed. The vlue obtined for the test sttistic, z = nture of the test (right-tiled, left-tiled, or two-tiled) is lso specified. Determine the P-vlue. 26) A right-tiled test: z = 2.38 A).9826 B).9913 C).174 D).87 x - μ σ/ n, is given. The 26) 27) A two-tiled test: z = 1.31 A).898 B).192 C).951 D) ) 28) A left-tiled test: z = -.58 A).562 B).438 C).281 D) ) SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Perform one-smple z-test for popultion men using the P-vlue pproch. Be sure to stte the hypotheses nd the significnce level, to compute the vlue of the test sttistic, to obtin the P-vlue, nd to stte your conclusion. 29) In the pst, the men running time for certin type of flshlight bttery hs been 8.5 hours. The 29) mnufcturer hs introduced chnge in the production method which he hopes hs incresed the men running time. The men running time for rndom smple of 4 light bulbs ws 8.7 hours. Do the dt provide sufficient evidence to conclude tht the men running time of ll light bulbs, μ, hs incresed from the previous men of 8.5 hours? Perform the pproprite hypothesis test using significnce level of.5. Assume tht σ =.5 hours. 8

9 3) In one city, the verge mount of time tht tenth-grders spend wtching television ech week is 21.6 hours. The principl of Birchwood High School believes tht t his school, tenth-grders wtch less television. For smple of 28 tenth-grders from Birchwood High School, the men mount of time spent wtching television per week ws 19.4 hours. Do the dt provide sufficient evidence to conclude tht for ll tenth-grders t Birchwood High School, the men mount of time spent wtching television per week is less thn the city verge of 21.6 hours? Perform the pproprite hypothesis test using significnce level of.5. Assume tht σ = 7.2 hours. 3) 31) The forced vitl cpcity (FVC) is often used by physicins to ssess person's bility to move ir in nd out of their lungs. It is the mximum mount of ir tht cn be exhled fter deep breth. For dult mles, the verge FVC is 5. liters. A resercher wnts to perform hypothesis test to determine whether the verge forced vitl cpcity for women differs from this vlue. The men forced vitl cpcity for rndom smple of 85 women ws 4.8 liters. Do the dt provide sufficient evidence to conclude tht the men forced vitl cpcity for women differs from the men vlue for men of 5. liters? Perform the pproprite hypothesis test using significnce level of.5. Assume tht σ =.9 liters. 31) MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. Provide n pproprite nswer. 32) A high school biology student wishes to test the hypothesis tht hummingbird feeders cn ffect the men mss of ruby-throted hummingbirds in the re surrounding the feeder. She cptures nd weighs severl femle specimens ner science museum where severl feeders re locted. She obtins the following msses in grms: The student's hypotheses re: H o : μ = 3.65 g H : μ > 3.65 g Use technology to clculte P, then determine if the dt provide sufficient evidence to conclude tht the men mss is greter thn tht of the generl femle popultion. Test t the 5% significnce level nd ssume the popultion stndrd devition is.35 g. A) P =.745; since P > α, ccept the null hypothesis - the mss of hummingbirds in the re surrounding the feeders does not pper to be bove norml. B) P =.255; since P > α, reject the null hypothesis - the mss of hummingbirds in the re surrounding the feeders ppers to be bove norml. C) P =.59; since P > α, reject the null hypothesis - the mss of hummingbirds in the re surrounding the feeders ppers to be bove norml. D) P =.1418; since P > α, ccept the null hypothesis - the mss of hummingbirds in the re surrounding the feeders does not pper to be bove norml. 32) SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Preliminry dt nlyses indicte tht it is resonble to use t-test to crry out the specified hypothesis test. Perform the t-test using the criticl-vlue pproch. 33) Use significnce level of α =.5 to test the clim tht μ The smple dt consists of 33) 15 scores for which x = 42.8 nd s = ) A test of sobriety involves mesuring the subject's motor skills. Twenty rndomly selected sober subjects tke the test nd produce men score of 41. with stndrd devition of 3.7. At the.1 level of significnce, test the clim tht the true men score for ll sober subjects is equl to ) 9

10 35) In tests of computer component, it is found tht the men time between filures is 52 hours. A modifiction is mde which is supposed to increse the time between filures. Tests on rndom smple of 1 modified components resulted in the following times (in hours) between filures At the.5 significnce level, test the clim tht for the modified components, the men time between filures is greter thn 52 hours. 35) MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. Provide n pproprite nswer. 36) Use significnce level of α =.5 to test the clim tht μ = The smple dt consists of 1 scores for which x = 2.1 nd s = 4.1. Stte the null nd lterntive hypotheses, compute the vlue of the test sttistic, nd find the P-vlue for the smple. Stte your conclusions bout the clim. A) H o : μ = 19.6 H : μ 19.6 Test sttistic: t = P-Vlue: P = Reject H o : μ = Since P > α, there is sufficient evidence to support the clim tht the men is different from B) H o : μ = 2.1 H : μ 2.1 Test sttistic: t = P-Vlue: P = Accept H o : μ = 2.1. Since P > α, there is not sufficient evidence to support the clim tht the men is different from 2.1. C) H o : μ = 19.6 H : μ 19.6 Test sttistic: t = P-Vlue: P = Accept H o : μ = Since P > α, there is not sufficient evidence to support the clim tht the men is different from D) H o : μ = 19.6 H : μ 19.6 Test sttistic: t = P-Vlue: P = Accept H o : μ = Since P > α, there is sufficient evidence to support the clim tht the men is different from E) H o : μ = 19.6 H : μ 19.6 Test sttistic: t = P-Vlue: P = Accept H o : μ = Since P > α, there is not sufficient evidence to support the clim tht the men is different from ) A hypothesis test is to be performed for popultion proportion. For the given smple dt nd null hypothesis, compute the vlue of the test sttistic, z = p^ - p p (1 - p )/n 37) Out of 199 observtions, 5% were successes. H: p =.43. A) B).2 C) D) ) 38) A drug compny clims tht over 8% of ll physicins recommend their drug. 12 physicins were sked if they recommend the drug to their ptients. 3% sid yes. H: p =.8. A) B) C) D) ) 1

11 SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Perform hypothesis test for popultion proportion using the criticl vlue pproch. 39) A mnufcturer considers his production process to be out of control when defects exceed 3%. In rndom smple of 85 items, the defect rte is 5.9% but the mnger clims tht this is only smple fluctution nd production is not relly out of control. At the.1 level of significnce, do the dt provide sufficient evidence tht the percentge of defects exceeds 3%? 39) 4) A supplier of 3.5" disks clims tht no more thn 1% of the disks re defective. In rndom smple of 6 disks, it is found tht 3% re defective, but the supplier clims tht this is only smple fluctution. At the.1 level of significnce, do the dt provide sufficient evidence tht the percentge of defects exceeds 1%? 4) 41) In clinicl study of n llergy drug, 114 of the 23 subjects reported experiencing significnt relief from their symptoms. At the.1 significnce level, test the clim tht more thn hlf of ll those using the drug experience relief. 41) MULTIPLE CHOICE. Choose the one lterntive tht best completes the sttement or nswers the question. Find the P-vlue for the indicted hypothesis test. 42) A medicl school clims tht more thn 28% of its students pln to go into generl prctice. It is found tht mong rndom smple of 13 of the school's students, 39 of them pln to go into generl prctice. Find the P-Vlue for test of the school's clim. 42) A).378 B).1635 C).3461 D) ) In smple of 88 children selected rndomly from one town, it is found tht 8 of them suffer from sthm. Find the P-vlue for test of the clim tht the proportion of ll children in the town who suffer from sthm is equl to 11%. 43) A).5671 B) C).2843 D).2157 SHORT ANSWER. Write the word or phrse tht best completes ech sttement or nswers the question. Perform hypothesis test for popultion proportion using the criticl vlue pproch. 44) A mnufcturer considers his production process to be out of control when defects exceed 3%. In rndom smple of 8 items, the defect rte is 5% but the mnger clims tht this is only smple fluctution nd production is not relly out of control. At the.1 level of significnce, do the dt provide sufficient evidence tht the percentge of defects exceeds 3%? 44) 45) A supplier of 3.5" disks clims tht no more thn 1% of the disks re defective. In rndom smple of 6 disks, it is found tht 3% re defective, but the supplier clims tht this is only smple fluctution. At the.1 level of significnce, do the dt provide sufficient evidence tht the percentge of defects exceeds 1%? 45) 11

12 Answer Key Testnme: CH 8 SET 1 1) C 2) A 3) B 4) A 5) No. The lterntive hypothesis is tht the true men is greter thn 4. A smple men much smller thn 4 does not provide evidence in fvor of this lterntive hypothesis. The null hypothesis should be rejected only if the smple men turns out much lrger thn 4. 6) Answers will vry. Possible nswer. Yes, he should reject the null hypothesis. If H were true, it is not very likely tht the smple men would be s big s 6, since this is more thn three stndrd devitions from 5. So the observed smple men is inconsistent with the null hypothesis. 7) B 8) D 9) 1) 11) A 12) A 13) A 12

13 Answer Key Testnme: CH 8 SET 1 14) B 15) C 16) No; since the test sttistic fell in the nonrejection region, the dt did not provide evidence in fvor of the lterntive, μ > 1. This does not men tht we cn conclude tht μ = 1, only tht we hve no evidence ginst tht hypothesis. In other words, one cn tlk of "filing to reject null hypothesis", but not of "ccepting" it. 17) "Sttisticlly significnt" mens tht the dt provided evidence ginst the null hypothesis. So the test sttistic fell in the rejection region nd the null hypothesis ws rejected. 18) For doctors nd ptients it is more importnt to hve smll β probbility. If the drug relly does increse blood pressure, it is importnt to detect tht. So the probbility of Type II error should be smll. The phrmceuticl compny my prefer to hve smll α probbility since they would lose money if the test concluded tht the drug incresed blood pressure when in fct it didn't. 19) B 2) C 21) C 22) H : μ = 56 F H : μ < 56 F Test sttistic: z = Criticl vlue z = Fil to reject H: μ = 56 F. there is not sufficient evidence to support the clim tht the men is less thn 56 F. 23) H : μ = 5 cm H : μ < 5 cm Test sttistic: z = 2.8. Criticl vlue z = Fil to reject H: μ = 5 cm. There is not sufficient evidence to support the clim tht the men length is less thn 5 cm. 24) H : μ = $116,8 H : μ > $116,8 Test sttistic: z = 4.5. Criticl vlue: z = Reject Ho: μ = $116,8.There is sufficient evidence to support the clim tht the men is higher thn $116,8. 25) H : μ = 18.7 months H : μ 18.7 months Test sttistic: z = Criticl vlues: z = ± Fil to reject H. There is not sufficient evidence to wrrnt rejection of the clim tht the men is 18.7 months. 26) D 27) B 28) C 29) H : μ = 8.5 hours H : μ > 8.5 hours α =.5 z = 2.53 P-vlue =.57 Reject H. At the 5% significnce level, the dt provide sufficient evidence to conclude tht the men running time of ll light bulbs, μ, hs incresed from the previous men of 8.5 hours. 13

14 Answer Key Testnme: CH 8 SET 1 3) H : μ = 21.6 hours H : μ < 21.6 hours α =.5 z = P-vlue =.526 Do not reject H. At the 5% significnce level, the dt do not provide sufficient evidence to conclude tht for tenth-grders t Birchwood High School the men mount of time spent wtching television per week is less thn 21.6 hours 31) H : μ = 5. liters H : μ 5. liters α =.5 z = -2.5 P-vlue =.44 Reject H. At the 5% significnce level, the dt provide sufficient evidence to conclude tht the men forced vitl cpcity for women differs from 5. liters. 32) D 33) H : μ = 32.6 H : μ 32.6 Test sttistic: t = Criticl vlues: t = ± Reject H: μ = There is sufficient evidence to support the clim tht the men is different from ) H : μ = 35.. H : μ 35.. Test sttistic: t = Criticl vlues: t = , Reject the null hypothesis. There is sufficient evidence to wrrnt rejection of the clim tht the men is equl to ) H : μ = 52 hours. H : μ > 52 hours. Test sttistic: t = Criticl vlue: t = Reject H. There is sufficient evidence to support the clim tht the men is greter thn 52 hours. 36) E 37) A 38) D 39) H : p =.3 H : p >.3. α =.1 Test sttistic: z = Criticl vlue: z = Fil to reject the null hypothesis. There is not sufficient evidence t the 1% significnce level to conclude tht the percentge of defects exceeds 3%. 4) H : p =.1 H : p >.1. α =.1 Test sttistic: z = Criticl vlue: z = Reject the null hypothesis. There is sufficient evidence t the 1% significnce level to conclude tht the percentge of defects exceeds 1%. 41) H : p =.5 H : p >.5. α =.1 Test sttistic: z = Criticl vlue: z = Fil to reject H. There is not sufficient evidence t the 1% significnce level to support the clim tht more thn hlf of ll those using the drug experience relief. 42) D 43) A 44) Test sttistic: z = P-vlue =.1472 Fil to reject the null hypotheses. There is not sufficient evidence t the 1% significnce level to conclude tht the percentge of defects exceeds 3%. 14

15 Answer Key Testnme: CH 8 SET 1 45) H : p =.1 H : p >.1. α =.1 Test sttistic: z = P-vlue =. (to four deciml plces) Reject the null hypothesis. There is sufficient evidence t the 1% significnce level to conclude tht the percentge of defects exceeds 1%. 15

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