A few years ago, Pepsi invited consumers to take the "Pepsi Challenge." Consumers were asked to decide which of two sodas, Coke or Pepsi, they preferred in a blind taste test. Pepsi was interesting in determining what factors played a role in people's taste preferences. One of the factors studied was the gender of the consumer. Below are the results of analyses comparing the taste preferences of men and women with the proportions depicting preference for Pepsi. Out of the 109 males, 42% preferred Pepsi and out of the 53 females, 40% preferred Pepsi. Pepsi wanted to test to determine if the males preferred Pepsi more than females.

(a) conduct the appropriate test and describe the results (pick own alpha value).

(b) develope and interpret a 95% CI and interpret the results.