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, compute the appropriate p-value for the test.

	.0170
	.4681
	.0340
	.2119

Answer 1

claim: the manufacturer wanted to test to determine if the males preferred its brand more than the females

since the given claim leads to one tailed alternative hypothesis

from z table the p value for Z = 2 .11825 is 0.0170

so option a is true