Exam 13: Paired and Independent-Samples T Tests

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Write a research hypothesis and its companion null hypothesis that could be tested with a paired-samples t test.

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Answers will vary: Research hypothesis-nine-year-olds, on average, are more aware of race than they were as eight-year-olds. Null hypothesis-nine-year-olds, on average, are no more aware of race than they were as eight-year-olds.]

Which of the following correctly describes a Type I error?

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D

Answer the questions that follow this SPSS output:     "Your research hypothesis is "In the population, persons' mothers average more years of schooling than do their fathers." (¯EDUCMOM>¯EDUCDAD) A) State the null hypothesis being tested. B) Is this a one-tailed or two-tailed hypothesis? C) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) D) What is the probability of getting the sample results you got if the null hypothesis is true? (If this step in hypothesis testing can be skipped, write the word "SKIP".) E) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) F) Are your results statistically significant? (yes / no)

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a. In the population, persons' mothers average the same or fewer years of schooling than do their fathers." (¯EDUCMOM>¯EDUCDAD)
b. one-tailed
c. null hypothesis
d. SKIP
e. do not reject null
f. not significant

You are testing a one-tailed independent-samples t test hypothesis. The sample results are consistent with the research hypothesis. Based on the following results, the significance level is _____ and you _____ the null hypothesis.  

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Can two frequency distributions substantially overlap if their means are significantly different? Explain.

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You are testing a one-tailed paired-samples t test hypothesis. The sample means were consistent with the research hypothesis. Based on the following results, the significance level is _____ and you _____ the null hypothesis.  

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An author reports the following information about a two-tailed paired-samples t test: t = 5.43, df = 83, p = .001. Which of the following is true?

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Which of the following hypotheses should be tested using a paired-samples t test?

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Does statistical significance indicate substantive importance? Explain.

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A researcher has done a paired-samples t-test. She reports the test's degrees of freedom to be 100. How many cases were there in the sample? __________

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Your paired-samples t test research hypothesis is that, on average, persons wish they had fewer children (KIDSBEST) than they actually have (CHILDREN). The following results are consistent with the _____ and you proceed to _____.  

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You are doing a paired-samples t test with 694 valid cases. How many degrees of freedom will the t test have?

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Which one of the following is NOT a correct description of the number obtained at Step 3 in hypothesis testing?

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For an independent-samples t test, the test variable (the variable whose values will be averaged for each group) can be what level of measurement?

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Answer the questions that follow this SPSS output:     Your research hypothesis is "On average, persons in the population with 16 years of schooling have less general knowledge (GENKNOW) than persons with 20 years of schooling." (¯(〖GENKNOW〗_16 )<¯(〖GENKNOW〗_20 ) ) A) State the null hypothesis being tested. B) Is this a one-tailed or two-tailed hypothesis? C) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) D) What is the significance level? (If this step in hypothesis testing can be skipped, write the word "SKIP".) E) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) F) Are your results statistically significant? (yes / no)

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Why are paired samples called that?

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When does a researcher risk making a Type I error?

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Answer the questions that follow this SPSS output:   Your research hypothesis is "In the population, the average number of hours spent using the Internet by full-time workers is greater than by part-time workers." (¯HEALTHSCORE06≤¯HEALTHSCORE05) A) State the null hypothesis being tested. B) Is this a one-tailed or two-tailed hypothesis? C) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) D) What is the significance level? (If this step in hypothesis testing can be skipped, write the word "SKIP".) E) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) F) Are your results statistically significant? (yes / no)

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Answer the questions that follow this SPSS output:     Your research hypothesis is "In the population, the average number of hours of TV watched is less than the average number of hours spent using the Internet." ((TVHOURS) ̅<(WEBHRS) ̅) A) State the null hypothesis being tested. B) Is this a one-tailed or two-tailed hypothesis? C) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) D) What is the probability of getting the sample results you got if the null hypothesis is true? (If this step in hypothesis testing can be skipped, write the word "SKIP".) E) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) F) Are your results statistically significant? (yes / no)

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Which of the following hypotheses should be tested using an independent-samples t test?

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