A cola manufacturer invited consumers to take a blind taste test. Consumers were

Question

A cola manufacturer invited consumers to take a blind taste test. Consumers were asked to decide which of two sodas they preferred. The manufacturer was also interested in what factors played a role in taste preferences. Below is a printout comparing the taste preferences of men and women.

HYPOTHESIS: PROP. X = PROP. Y

SAMPLES SELECTED FROM soda(brand1,brand2)

males (sex=0, males) (NUMBER = 115)
females (sex=1, females) (NUMBER = 56)

X =  males
Y =  females

SAMPLE PROPORTION OF X = 0.422018
SAMPLE SIZE OF X = 109
SAMPLE PROPORTION OF Y = 0.25
SAMPLE SIZE OF Y = 52

PROPORTION X - PROPORTION Y = 0.172018
Z = 2.11825

Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females. Using the test statistic given, for a one-sided test, compute the appropriate p-value for the test.

Explanation / Answer

Here test is right tailed. So p-value of the test, by using the z table, is

P(z > 2.12) =1 -P(z <= 2.12) =1- 0.983 = 0.017

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