For a class project, Abby and Mia wanted to know if the gender of an interviewer could affect the responses to a survey question. The subjects in their experiment were 100 males from their school. Half of the males were randomly assigned to be asked, "Would you vote for a female president?" by a female interviewer. The other half of the males were asked the same question by a male interviewer. The results are provided in the table below.

a.) State the hypotheses the researchers are interested in testing.

b.) Verify that the conditions for interference are satisfied in this context.

c.) The test of the hypothesis in part (a) resulted in a x^2= 4.247 and p-value = 0.120. Interpret this value.

d.) If the hypothesis you used in part (a) were for a test for independence, describe how the study could have been conducted so a test of homogeneity would be appropriate. If the hypotheses you used in part (a) were for a test of homogeneity, describe how the study could have been conducted so a test of independence would be appropriate.

Male Female All Yes 30 39 69 No 8 11 00 09 Maybe 12 20 Total 50 50 100