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Some Basic Null Hypothesis Tests

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Questions

Question 1

What is the primary purpose of the t-test in psychological studies, as described in the chapter?

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Question 2

Which type of t-test is used to compare a sample mean (M) with a hypothetical population mean (μ0)?

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Question 3

What are the degrees of freedom for a one-sample t-test with a sample size (N) of 25?

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Question 4

In a one-tailed test, when is the null hypothesis rejected?

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Question 5

In the example study on calorie estimates of a cookie, the actual calorie count was 250. What was the mean estimate for the sample (M) of 10 students?

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Question 6

A dependent-samples t-test is most appropriate for which of the following research designs?

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Question 7

In a dependent-samples t-test, what is the first step in the calculation process?

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Question 8

What is the hypothetical population mean (μ0) of interest for the difference scores in a dependent-samples t-test?

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Question 9

In the dependent-samples t-test example, a training program was tested for its effectiveness in improving calorie estimates. The one-tailed p-value was .148. What was the correct conclusion for the researcher?

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Question 10

The independent-samples t-test is used to compare what?

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Question 11

What is the formula for the degrees of freedom for an independent-samples t-test, where N is the total sample size?

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Question 12

In the independent-samples t-test example comparing calorie estimates of junk food eaters and non-junk food eaters, how many total participants were in the study?

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Question 13

The analysis of variance (ANOVA) is the most common null hypothesis test under what condition?

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Question 14

The test statistic for an ANOVA is called F. What is the F statistic a ratio of?

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Question 15

In a one-way ANOVA, if a study has 3 groups and a total sample size of 24, what are the between-groups degrees of freedom (dfB) and within-groups degrees of freedom (dfW)?

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Question 16

What is the purpose of conducting post hoc comparisons after a statistically significant one-way ANOVA result?

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Question 17

Why do researchers typically not use a series of standard independent-samples t-tests for post hoc comparisons?

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Question 18

How does a repeated-measures ANOVA differ from a one-way ANOVA?

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Question 19

A factorial ANOVA is the appropriate analysis for which type of research design?

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Question 20

What does a factorial ANOVA produce for each main effect and interaction in a study?

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Question 21

What is the null hypothesis when testing a Pearson's r correlation coefficient?

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Question 22

When testing a correlation coefficient, how many degrees of freedom are there for a sample of size N?

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Question 23

In the example of testing a correlation coefficient between calorie estimates and weight, a sample of 22 students was used. The Pearson's r was -0.21 and the p-value was .348. What was the correct conclusion?

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Question 24

According to Table 13.5, what is the two-tailed critical value of Pearson's r for a sample size of 20 when α is .05?

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Question 25

If a researcher computes a correlation coefficient by hand and finds that the sample value is less extreme than the critical value from a table, what should they conclude?

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Question 26

What is the alternative hypothesis (H1) for a one-sample t-test?

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Question 27

In the APA style reporting of the one-sample t-test example, t(9) = -3.07, p = .01, what does the number 9 in parentheses represent?

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Question 28

What is the null hypothesis for an independent-samples t-test comparing two populations?

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Question 29

In the example comparing junk food eaters to non-junk food eaters, what was the mean calorie estimate for the non-junk food eaters?

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Question 30

According to the Table of Critical Values of t (Table 13.2), what is the two-tailed critical value for a t-test with 13 degrees of freedom when α is .05?

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Question 31

What is the null hypothesis for a one-way ANOVA with three groups?

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Question 32

In the one-way ANOVA example comparing calorie estimates among psych, nutrition, and dietician majors, the calculated p-value was .0009. What is the correct conclusion?

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Question 33

Which value from the ANOVA output table in the text (Table 13.4) represents the mean squares within groups (MSW)?

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Question 34

What is the primary advantage of using a repeated-measures ANOVA for a within-subjects design compared to a one-way ANOVA for a between-subjects design?

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Question 35

If a researcher is studying the effects of participant major (psychology vs. nutrition) and food type (cookie vs. hamburger) on calorie estimates, what type of analysis should be used?

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Question 36

The test for a correlation coefficient can be one-tailed if the researcher does what?

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Question 37

If a researcher found a Pearson's r of .550 with a sample of 10 for a two-tailed test (alpha = .05), what should they conclude based on Table 13.5?

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Question 38

What is the key disadvantage of a one-tailed test?

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Question 39

In the dependent-samples example, the mean of the difference scores was 8.50 with a standard deviation of 27.27 for 10 participants. What was the calculated t-score based on the formula image provided?

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Question 40

If you reject the null hypothesis in a one-way ANOVA, what can you conclude?

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Question 41

According to the description of the F distribution for ANOVA, what are its typical characteristics when the null hypothesis is true?

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Question 42

In the one-way ANOVA example, the critical value of F (Fcrit) with 2 and 21 degrees of freedom was 3.467. The calculated F score was 9.92. What does this comparison indicate?

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Question 43

Which of the following is listed as a modified t-test procedure used for post hoc comparisons to control for Type I error?

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Question 44

If a sample has a Pearson's r of .200 and a sample size of 90, what is the conclusion for a two-tailed test with alpha at .05, according to Table 13.5?

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Question 45

Which null hypothesis test is used for between-subjects designs with a single independent variable and more than two groups?

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Question 46

What does a dependent-samples t-test become after the first step of creating difference scores is completed?

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Question 47

If a researcher conducts a one-tailed test expecting an increase in scores but finds a large decrease, what will be the outcome of the null hypothesis test?

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Question 48

In the context of ANOVA, the test statistic F is a ratio of two estimates of what?

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Question 49

According to Table 13.2, for a two-tailed test with alpha at .05, as the degrees of freedom increase from 3 to 100, what happens to the critical value of t?

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Question 50

What is the alternative hypothesis for a test of a correlation coefficient?

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