1a. The 2014 Community College Survey of Student Engagement (CCSSE) included a question that asked faculty how much of their coursework emphasizes the memorization of facts, ideas, or methods so that students can repeat them in pretty much the same form. The results are below. Very little: 21.5% Some: 33.7% Quite a bit: 27.7% Very much: 17.1% A small study that same year asked 400 randomly selected community college students how much of their coursework emphasized memorizing facts, ideas, or methods so that they can repeat them in pretty much the same form. The results are below. Very little: 39 Some: 139 Quite a bit: 148 Very much: 74 Find the value of the P-VALUE that would be used in a test of the claim that the distribution of faculty responses to this question is the same as the distribution of student responses. Use a significance level of 0.01.

• a. 1.94710^-8 (or 0.000 000 019 47)
• b. 2.34710^-14 (or 0.000 000 000 000 023 47)
• c. approximately 0
• d. approximately 1

1b. Find the absolute value of the CRITICAL VALUE that would be used in a test of the claim that the distribution of faculty responses to this question is the same as the distribution of student responses. Use a significance level of 0.01.

a. 14.860 b. 13.277 c. 12.838 d. 11.345

1c. What are the HYPOTHESES that would be used in a test of the claim that the distribution of faculty responses to this question is the same as the distribution of student responses?

• a. H₀: p_{very little} = 39, p_some = 139, p_{quite a bit} = 148, p_{very much} = 74 H₁: at least one of these proportions is different from the distribution in H₀
• b. H₀: p_{very little} = 0.215, p_some = 0.337, p_{quite a bit} = 0.277, p_{very much} = 0.171 H₁: at least one of these proportions is different from the distribution in H₀

c. H₀: p_{very little} = 0.0975, p_some = 0.3475, p_{quite a bit} = 0.37, p_{very much} = 0.185 H₁: at least one of these proportions is different from the distribution in H₀

• d. H₀: p_{very little} = p_some = p_{quite a bit} = p_{very much}

1d. Identify the CONCLUSION of a hypothesis test of the claim that the distribution of faculty responses to this question is the same as the distribution of student responses. Use a significance level of 0.01.

a. There is not sufficient evidence to warrant rejection of the claim. b. There is not sufficient evidence to support the claim. c. There is sufficient evidence to warrant rejection of the claim. d. There is sufficient evidence to support the claim.

1e. Find the value of the TEST STATISTIC that would be used in a test of the claim that the distribution of faculty responses to this question is the same as the distribution of student responses. Use a significance level of 0.01.

a. -0.0977 b. 66.542 c. 38.765 d. 3641.84