A) to D) to B) to E) to C) to Rate of hay fever per 1000 population for people under 25

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1 Unit 0 Review #3 Name: Date:. Suppose a random sample of 380 married couples found that 54 had two or more personality preferences in common. In another random sample of 573 married couples, it was found that only 6 had no preferences in common. Let p be the population proportion of all married couples who have two or more personality preferences in common. Let p be the population proportion of all married couples who have no personality preferences in common. Find a 98% confidence interval for p p. A) to 0.70 D) 0.57 to 0.79 B) 0.60 to 0.66 E) 0.57 to C) to = 6 communities in western Kansas gave the following information for people under 5 years of age. x : Rate of hay fever per 000 population for people under = 4 regions in western Kansas gave the following information for people x : Rate of hay fever per 000 population for people over data indicate that the age group over 50 has a lower rate of hay fever? Use α = If < P- value < 0.0, will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α? A) Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis. B) Since the P-value is less than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis. C) Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis. D) Since the P-value is greater than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis. E) Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis. Statistics - Ms. Metheny Page

2 Unit 0 Review #3 3. = 6 communities in western Kansas gave the following information for people under 5 years of age. x : Rate of hay fever per 000 population for people under = 4 regions in western Kansas gave the following information for people x : Rate of hay fever per 000 population for people over data indicate that the age group over 50 has a lower rate of hay fever? Use α = State the null and alternate hypotheses. A) H0 : μ > μ ; H: μ < μ D) H0 : μ < μ ; H: μ > μ B) H0 : μ = μ ; H: μ < μ E) H0 : μ = μ ; H: μ > μ C) H0 : μ < μ ; H: μ = μ 4. Generally speaking, would you say that most people can be trusted? = 55 people ages 8 5 showed that r = 4 said yes. Another random sample of n = 87 people ages showed that r = 66 said yes. Use α = 0.09 to test the claim that the population proportion of trusting people in state is higher for older group. State the null hypothesis. A) H: p = p B) H: p > p C) H: p < p 5. Generally speaking, would you say that most people can be trusted? = 65 people ages 8 5 showed that r = 59 said yes. Another random sample of n = 95 people ages showed that r = 77 said yes. Use α = 0.05 to test the claim that the population proportion of trusting people is higher for older group. Estimate the P-value. Based on this, will you reject or fail to reject the null hypothesis? Carry four digits after the decimal in your calculations. A) reject the null hypothesis B) fail to reject the null hypothesis 6. If an 85% confidence interval for the difference of proportions contains some positive and some negative values, what can we conclude about the relationship between p and p at the 85% confidence level? A) p < p B) p > p C) We cannot conclude that p < p or p > p. Statistics - Ms. Metheny Page

3 Unit 0 Review #3 7. Alisha is conducting a paired differences test for a "before (C score) and after (B score)" situation. She is interested in testing whether the average of the "before" scores is higher than that of the "after" scores. To use a left-tailed test, how should she construct the differences between the "before" and "after" scores? A) d = B C B) d = C+ B C) d = C+ B D) d = C B E) d = B C 8. Generally speaking, would you say that most people can be trusted? = 6 people ages 8 5 showed that r = 40 said yes. Another random sample of n = 86 people ages showed that r = 7 said yes. Use α = 0.06 to test the claim that the population proportion of trusting people is higher for older group. Find the P-value. Round your answer to four decimal places. A) B) C) D) E) = 6 communities in western Kansas gave the following information for people under 5 years of age. x : Rate of hay fever per 000 population for people under = 4 regions in western Kansas gave the following information for people x : Rate of hay fever per 000 population for people over data indicate that the age group over 50 has a lower rate of hay fever? Use α = Find (or estimate) the P-value. A) 0.0 < P-value < 0.0 D) P-value < B) 0.0 < P-value < 0.05 E) < P-value < 0.0 C) 0.05 < P-value < Consider a hypothesis test of difference of means for two independent populations x8 and x 9. Which of the following is a way of expressing the null hypothesis? A) H0 : μ8 μ9 = 0 D) H0 : μ8 + μ9 > 0 B) H0 : μ8 + μ9 > 0 E) H0 : μ8 μ9 < 0 C) H0 μ8 μ9 : < 0. If a 9% confidence interval for the difference of means μ μ contains all positive values, what can we conclude about the relationship between μ and μ at the 9% confidence level? A) μ = μ B) μ > μ C) μ < μ D) μ = μ E) μ < μ Statistics - Ms. Metheny Page 3

4 Unit 0 Review #3. REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-rem sleep. However, it is thought that children have more REM sleep than adults. Assume that REM sleep time is normally distributed for both children and adults. Suppose that a random sample of n = children (9 years old) showed that they had an average REM sleep time of x = 3.8 hours per night. From previous studies it is known that σ = 0.7 hour. Suppose that another random sample of n = adults showed that they had an average REM sleep time of x = 3.0 hours per night. Previous studies show that σ = 0.9 hour. Will you reject or fail to reject the null hypothesis? Use a % level of significance. Are the data statistically significant at this level of significance? A) reject the null hypothesis; no C) fail to reject the null hypothesis; no B) fail to reject the null hypothesis; yes D) reject the null hypothesis; yes 3. REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-rem sleep. However, it is thought that children have more REM sleep than adults. Assume that REM sleep time is normally distributed for both children and adults. Suppose that a random sample of n = 0 children (9 years old) showed that they had an average REM sleep time of x = 3.5 hours per night. From previous studies it is known that σ = 0.8 hour. Suppose that another random sample of n = 0 adults showed that they had an average REM sleep time of x =.7 hours per night. Previous studies show that σ = 0.9 hour. Find the P-value. Round your answer to four decimal places. A) 0.03 B) C) 0.98 D) E) = 6 communities in western Kansas gave the following information for people under 5 years of age. x : Rate of hay fever per 000 population for people under = 4 regions in western Kansas gave the following information for people x : Rate of hay fever per 000 population for people over data indicate that the age group over 50 has a lower rate of hay fever? Use α = What does the area of the sampling distribution corresponding to the P-value look like? A) The area of the sampling distribution is to the right of.3. B) The area of the sampling distribution is between.3 and.3. C) The area of the sampling distribution is to the left of.3. D) The area of the sampling distribution is to the left of.3. E) The area of the sampling distribution is to the right of.3. Statistics - Ms. Metheny Page 4

5 Answer Key Unit 0 Review #3. C. A 3. E 4. C 5. B 6. C 7. E 8. D 9. D 0. A. B. D 3. B 4. E Statistics - Ms. Metheny Page 5