Reconsider the previous exercise. Suppose that you were to define the parameter , not as the probability

Reconsider the previous exercise. Suppose that you were to define the parameter π, not as the probability that a New Zealand student would associate the name Tim with the face on the left , but as the probability that a New Zealand student would associate the name Bob with the face on the left . Re-answer parts (a) to (d) of the previous exercise with this different set-up. Comment on how (if at all) your calculations and conclusions change.

a. Express the appropriate null and alternative hypotheses, in symbols and in words, for testing whether New Zealand students have a tendency to associate the name Tim with the face on the left .
b. Conduct a simulation analysis to test these hypotheses with data from Mr. Judkins’s students. Summarize your conclusion.
c. Is it appropriate to use a theory-based approach with these data? Justify your answer. 

d. Implement a theory-based approach to test the hypotheses in part (a). Report the values of the test statistic and p-value. Summarize your conclusion.