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 interested 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.
Males: n = 109, pM = 0.422018 Females: n = 52, pF = 0.25 pM – pF = 0.172018 Z = 2.11825
4. Referring to Scenario 10-8, to determine if a difference exists in the taste preferences of men and women, give the correct alternative hypothesis that Pepsi would test.
5.Referring to Scenario 10-8, suppose Pepsi wanted to test to determine if the males preferred Pepsi more than the females. Using the test statistic given, compute the appropriate p-value for the test.
6.Referring to Scenario 10-8, suppose Pepsi wanted to test to determine if the males preferred Pepsi less than the females. Using the test statistic given, compute the appropriate p-value for the test.
7.Referring to Scenario 10-8, suppose that the two-tail p-value was really 0.0734. State the proper conclusion.
8.Referring to Scenario 10-8, construct a 90% confidence interval estimate of the difference between the proportion of males and females who prefer Pepsi.
9.Referring to Scenario 10-8, construct a 95% confidence interval estimate of the difference between the proportion of males and females who prefer Pepsi.
10.Referring to Scenario 10-8, construct a 99% confidence interval estimate of the difference between the proportion of males and females who prefer Pepsi.