# Test 1: Inference. Directions

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1 Test 1: Inference An inference is a conclusion a person can draw from certain observed or supposed facts. For example, if the lights are on in a house and voices can be heard coming from the house, a person might infer that someone is at home. But this inference may or may not be correct. Possibly the people in the house did not turn the lights and the television off when they left the house. In this test, each exercise begins with a statement of facts that you are to regard as true. After each statement of facts you will find several possible inferences that is, conclusions that some persons might draw from the stated facts. Examine each inference separately, and make a decision as to its degree of truth or falsity. For each inference you will find spaces on the answer sheet labeled T, PT, ID, PF, and F. For each inference make a mark on the answer sheet under the appropriate heading as follows: T PT ID PF F if you think the inference is definitely TRUE; that it properly follows beyond a reasonable doubt from the statement of facts given. if, in the light of facts given, you think the inference is PROBABLY TRUE; that it is more likely to be true than false. if you decide that there are INSUFFICIENT DATA; that you cannot tell from the facts given whether the inference is likely to be true or false; if the facts provide no basis for judging one way or the other. if, in the light of the facts given, you think the inference is PROBABLY FALSE; that it is more likely to be false than true. if you think the inference is definitely FALSE; that it is wrong, either because it misinterprets the facts given, or because it contradicts the facts or necessary inferences from those facts. Sometimes, in deciding whether an inference is probably true or probably false, you will have to use certain commonly accepted knowledge or information that practically every person has. This will be illustrated in the example that follows. Two hundred students in their early teens voluntarily attended a recent weekend student conference in a Midwestern city. At this conference, the topics of race relations and means of achieving lasting world peace were discussed, because these were the problems the students selected as being most vital in today s world. 1. As a group, the students who attended this conference showed a keener interest in broad social problems than do most other students in their early teens. Copyright 2008 by Pearson Education, Inc. or its affiliate(s). All rights reserved. 1

2 2. The majority of the students had not previously discussed the conference topics in their schools. 3. The students came from all sections of the country. 4. The students discussed mainly labor relations problems. 5. Some teenage students felt it worthwhile to discuss problems of race relations and ways of achieving world peace.{end box for example.} In the above example, inference 1 is probably true (PT) because (as is common knowledge) most people in their early teens do not show so much serious concern with broad social problems. It cannot be considered definitely true from the facts given because these facts do not tell how much concern other young teenagers may have. It is also possible that some of the students volunteered to attend mainly because they wanted a weekend outing. Inference 2 is probably false (PF) because the students growing awareness of these topics probably stemmed at least in part from discussions with teachers and classmates. There is no evidence for inference 3. Thus there are insufficient data (ID) for making a judgment on the matter. Inference 4 is definitely false (F) because it is given in the statement of facts that the topics of race relations and means of achieving world peace were the problems chosen for discussion. Inference 5 necessarily follows from the given facts; it therefore is true (T). In the exercises that follow, more than one of the inferences from a given statement of facts may be true (T), or false (F), or probably true (PT), or probably false (PF), or have insufficient data (ID) to warrant any conclusion. Thus you are to judge each inference independently. Copyright 2008 by Pearson Education, Inc. or its affiliate(s). All rights reserved. 2

4 Test 3: Deduction In this test, each exercise consists of several statements (premises) followed by several suggested conclusions. For the purposes of this test, consider the statements in each exercise as true without exception. Read the first conclusion beneath the statements. If you think it necessarily follows from the statements given, make a heavy black mark under CONCLUSION FOLLOWS in the proper place on the answer sheet. If you think it is not a necessary conclusion from the statements given, put a heavy black mark under CONCLUSION DOES NOT FOLLOW, even though you may believe it to be true from your general knowledge. Likewise, read and judge each of the other conclusions. Try not to let your prejudices influence your judgment just stick to the given statements (premises) and judge each conclusion as to whether it necessarily follows from the premise. The word some in any of these statements means an indefinite part or quantity of a class of things. Some means at least a portion, and perhaps all of the class. Thus, Some holidays are rainy means at least one, possibly more than one, and perhaps even all holidays are rainy. Study the example carefully before starting the test. Some holidays are rainy. All rainy days are boring. Therefore, no clear days are boring. (The conclusion does not follow. You cannot tell from the statements whether or not clear days are boring. Some may be.) 2. some holidays are boring. (The conclusion necessarily follows from the statements since, according to them, the rainy holidays must be boring.) 3. some holidays are not boring. (The conclusion does not follow, even though you may know that some holidays are very pleasant.){end box} Copyright 2008 by Pearson Education, Inc. or its affiliate(s). All rights reserved. 4

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