Horror movies are not usually critically acclaimed, but two famous horror movies were almost universally praised by critics: 2017’s Get Out and 1960’s Psycho.

Get Out focuses on themes of racial inequality and violence, while Psycho examines sexuality, gender, and violence. A movie critic wants to know if people’s racial identities affect their preferences for Psycho versus Get Out. She invites a random sample of seventy-five adults who have seen neither film to view both films. Afterward, she asks which of the two films each viewer prefers.

Forty-one people in the sample identified exclusively as white, and thirty-four claimed racial identities other than white.

a. The data showed that 78% of white viewers preferred Get Out compared to 88% of people of color who viewed the films. What is the null hypothesis for a two-sample test for a difference in proportions? Assuming that this is a two-tailed test, state the alternative hypothesis.

b. Use the information in this problem to construct a cross-tabulation of film preference and racial identity. In each cell, include the appropriate frequency and percentage. Be sure to include a row and column for total frequencies and percentages.

c. State the null hypothesis for a chi-square test of independence. State the alternative hypothesis.

d. The p-value for the two-tailed test described in Part a is 0.12. Is it correct to conclude that the sample chi-square statistic from Part c would not be significant at the 0.05 alpha-level? Explain your answer.

e. According to the results described in this problem, in the general population, do whites and people of color differ significantly in their preference for Get Out or Psycho?