GSS 2014 respondents were asked, “Some people say the following things are impor

Question

GSS 2014 respondents were asked, “Some people say the following things are important for being truly American. Others say they are not important. How important do you think each of the following is—to be a Christian?” Responses were measured on a 4-point scale: 1=very important, 2=fairly important, 3=not very important, 4=not important at all. Those with a high school degree had an average score of 2.35 (s = 1.21, n = 189). Those with a bachelor’s degree had an average score of 3.05 (s = 1.05, n = 61). Test your null hypothesis with a two-tailed test; = .05. What do you conclude about the difference in attitudes between high school and bachelor’s degree graduates?

Explanation / Answer

Sol:

Null Hypothesis:

Ho: highschool= bachelors degree

Alternative Hypothesis:

H1: highschool bachelors degree

level of significance=0.05

Z statistic:

=2.35-3.05-(0)/sqrt(1.21^2/189+1.05^2/61)

=-4.36

The P-Value is 1.3E-05.

The result is significant at p < 0.05.

Reject null hypothesis.

there is sufficient evidence at 5% level of significance that the means between high school and bachelor’s degree graduates are different

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