Bowie state universityCollege of Professional Studies

Department of Psychology

Statistics I Assignment 4 Spring 2020

Worth 50%

Due date 5/5/2020 at 11:59 pm

Multiple choices

1. You calculate a value of 1.17 for the t-statistic and find falls in the region of non-rejection. As

a result, the most appropriate conclusion is that you ______.

A. do not reject the alternative hypothesis

B. reject the null hypothesis

C. reject the alternative hypothesis

D. do not reject the null hypothesis

2. A researcher tests the mean of a sample of 22 people and calculates a value of 1.81 for the tstatistic. For α = .05 (two-tailed), which of the following decisions is MOST appropriate?

A. do not reject null (p < 0.05)
B. do not reject null (p > 0.05)

C. reject null (p < 0.05)
D. reject null (p > 0.05)

3. A researcher tests the mean of a sample of 24 people and calculates a value of 1.98 for the tstatistic. For α = .05 (two-tailed), which of the following decisions is MOST appropriate?

A. do not reject null (p > 0.01)

B. do not reject null (p > 0.05)

C. reject null (p < 0.05)
D. reject null (p > 0.05)

4. If the value of a t-statistic falls between the critical values for α = .05 and α = .01, you would

describe the level of significance as ______.

A. p > 0.01

C. p < 0.01
B. p > 0.05

D. p < 0.05
5. Imagine the value of a t-statistic is less than the critical value for α = .01 but greater than the
critical value for α = .05. Which of the following is the MOST appropriate way to report the
level of significance?
A. p < 0.01
C. p > 0.05

B. p > 0.01

D. p < 0.05
6. Imagine the value of a t-statistic is greater than the critical value for α = .05 but less than the
critical value for α = .01. Which of the following is the level of significance for this t-statistic?
A. p < 0.01 (but not < 0.05)
B. p > 0.01

C. p > 0.01 (but not < 0.05)
D. p < 0.05 (but not < 0.01)
7. A researcher tests the mean of a sample of 16 people and calculates a value of 2.42 for the tstatistic. For α = .05 (two-tailed), which of the following is the MOST appropriate level of
significance?
A. p < 0.05
C. p < 0.01
B. p > 0.05

D. p > 0.01

8. In reporting the result of a statistical analysis, a researcher reports that “p < .01”. This
necessarily implies that ______.
A. the null hypothesis was not rejected
B. the research hypothesis was not supported
C. p < 0.05
D. p > 0.05

9. If ______ , you would describe the result of the analysis as being ______.

A. p < 0.05; nonsignificant
B. p > 0.05; significant

C. p > 0.05; insignificant

D. p > 0.05; nonsignificant

10. If you were to ______ the null hypothesis, you would say the result is statistically ______.

A. reject; nonsignificant

B. not reject; insignificant

C. reject; significant

D. not reject; significant

11. You determine whether the probability of a statistic such as the t-statistic is less than .01 (p <
0.01) ______.
A. when you do not reject the null hypothesis
B. when you reject the null hypothesis
C. whenever you analyze a set of data
D. when you accept the null hypothesis
12. You determine whether the probability of a statistic such as the t-statistic is < 0.01 ______.
A. when you do not reject the null hypothesis
B. because p < 0.01 is more precise than p < 0.05
C. because p < 0.01 is more likely to occur than p < 0.05
D. because p < 0.01 is better than p < 0.05
13. You determine whether the probability of a statistic such as the t-statistic is < 0.01 ______.
A. because p < 0.01 is much more significant than p < 0.05
B. in order to prove the research hypothesis
C. because p < 0.05 is more likely to occur than p < 0.01
D. to be as precise as possible
14. Answering the question, “Is p < 0.01?” is part of ______.
A. making the decision to reject the null hypothesis
B. calculating the degrees of freedom
C. determining the level of significance
D. setting α
15. When do you determine whether the probability of a statistic such as the t-statistic is less than
.01?
A. when you do not reject the null hypothesis
B. when you reject the null hypothesis
C. when you’ve already concluded that p > 0.05

D. when you’ve already concluded that p > 0.01

16. A study based on a sample of 13 participants calculates a value of 2.26 for the t-test for a single

mean. For alpha (α) = 0.05 (two-tailed), which of the following is the correct way to present

this analysis?

A. t(11) = 2.26, p < 0.05
B. t(12) = 2.26, p < 0.05
C. t(12) = 2.26, p < 0.01
D. t(13) = 2.26, p < 0.01
17. A study based on a sample of 17 participants calculates a value of 2.33 for the t-test for a single
mean. For alpha (α) = 0.05 (two-tailed), which of the following is the correct way to present
this analysis?
A. t(16) = 2.33, p < 0.05
B. t(16) = 2.33, p > 0.05

C. t(17) = 2.33, p < 0.05
D. t(17) = 2.33, p > 0.01

18. A study based on a sample of 14 participants calculates a value of 2.58 for the t-test for a single

mean. For alpha (α) = .05 (two-tailed), which of the following is the correct way to present this

analysis?

A. t(13) = 2.58, p < 0.05
B. t(13) = 2.58, p > 0.01

C. t(14) = 2.58, p < 0.05
D. t(14) = 2.58, p < 0.01
19. A study based on a sample of 22 participants calculates a value of 1.86 for the t-statistic. For
alpha (α) = .05 (two-tailed), which of the following is the correct way to present this analysis?
A. t(20) = 1.86, p > 0.01

B. t(21) = 1.86, p > 0.05

C. t(21) = 1.86, p < 0.01
D. t(22) = 1.86, p < 0.05
20. A study based on a sample of 20 participants calculates a value of 1.92 for the t-test for a single
mean. For alpha (α) = .05 (two-tailed), which of the following is the correct way to present this
analysis?
A. t(18) = 1.92, p > 0.01

B. t(19) = 1.92, p < 0.05
C. t(19) = 1.92, p > 0.05

D. t(19) = 1.92, p < 0.01
21. A study based on a sample of 13 participants calculates a value of 1.89 for the t-test for a single
mean. For alpha (α) = .05 (two-tailed), which of the following is the correct way to present this
analysis?
A. t(12) = 1.89, p < 0.05
B. t(12) = 1.89, p > 0.05

C. t(13) = 1.89, p < 0.05
D. t(13) = 1.89, p > 0.01

22. A study based on a sample of 30 participants calculates a value of 2.56 for the t-test for a single

mean. For alpha (α) = .05 (two-tailed), which of the following is the correct way to present this

analysis?

A. t(29) = 2.56, p > 0.05

B. t(29) = 2.56, p > 0.01

C. t(29) = 2.56, p < 0.05
D. t(29) = 2.56, p < 0.01
Study about Alcohol
Use this information below to answer questions 23–27.
As alcohol-related problems are a concern on college campuses, research has been conducted
regarding students’ perceptions of drinking behavior. For example, one study found students have
misconceptions regarding what is considered excessive (“binge”) drinking. Imagine you believe
students’ definition of binge drinking will differ from the government’s definition. More
specifically, you hypothesize students will overestimate the number of drinks needed to be
consumed to be defined as binge drinking. To test this hypothesis, a group of college students are
asked, “How many drinks in a row must a man drink in order to define it as “binge drinking?” The
responses of some of the students in this class are summarized as:
N = 16
X = 7.94
s = 4.63
23. The government has defined binge drinking as consuming at least 5 drinks in a row. Therefore,
in this study, how would the null and alternative hypotheses be stated?
A. H0: μ < 5; H1: μ > 5

B. H0: μ = 5; H1: μ ≠ 5

C. H0: μ ≠ 5; H1: μ = 5

D. H0: μ = 5; H1: μ < 5
(s )
24. What is the value for the standard error of the mean X ?
A. 0.29
C. 0.86
B. 0.50
D. 1.16
25. For α = .05 (two-tailed), which of the following is an appropriate critical value?
A. 1.746
C. 2.120
B. 2.042
D. 2.131
26. Based on your calculations, which of the following represents your decision regarding the null
hypothesis?
A. Do not reject H0 (p > 0.05)

B. Reject H0 (p < 0.05)
C. Reject H0 (p < 0.01)
D. Reject H0 (p > 0.01)

27. Based on your analysis, which of the following represents your conclusion regarding the

research hypothesis?

A. The analysis does not support the research hypothesis.

B. The analysis supports the research hypothesis.

C. The analysis disproves the research hypothesis.

D. The analysis proves the research hypothesis.

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