A few years ago, Pepsi invited consumers to take the "Pepsi Challenge". Consumers were asked to decide which of the two sodas they preferred in a blind taste test. Pepsi was interested in determining what factors played a role in people's taste preferences. One of the factors studied was gener of the consumer. Below are the results of analysis comparing the taste preferences of men and women with the proportions depicting preference for Pepsi. Out of the 109 males, 42% preferred Pepsi. Out of the 53 females, 40% preferred Pepsi. Pepsi wanted to test to determine if the males preferred Pepsi more than the females.
(a) Conduct the appropriate test and describe the results (Pick your own alpha value)
(b) Develop and interpret a 95% CI and interpret the results