The 2016 GSS asked respondents the following question: "Scientists are apt to be odd and peculiar people. Do you strongly agree, agree, disagree, or strongly disagree with this statement?" They also collected data about the sex of respondents. The results are as follows:

Male Female Total

Strongly Agree 25 24 49

Agree 64 116 180

Disagree 51 97 148

Strongly Disagree 8 22 30

Total 148 259 407

Use this information to perform a Chi-Square Test for Association to test the claim that beliefs about scientists being odd and peculiar people varies depending on sex.

a. Provide the null and alternative hypotheses for testing the claim that beliefs about scientists being odd and peculiar people differs depending on sex.

b. What should the expected count be for each cell (if Ho is true)?

c. Use the formula we learned in 7.2 to calculate the Chi-Square statistic.

d. Use a Chi-Square distribution with the appropriate degrees of freedom to find the p-value for the Chi-Square statistic. Provide df and p-value.

e. Rule on Ho (use = .05) and interpret the results of the test in the context of the question.