A Cola Manufacturer Invited Consumers to Take a Blind Taste $\mathrm { X } =$

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. $\mathrm { X } =$ PROP. $Y$

SAMPLES SELECTED FROM soda(brand1,brand2)

$\begin{array}{lll}\text { males } & (\text { sex }=0, \text { males }) & (N U M B E R=115) \\\text { females } & (\text { sex }=1, \text { females }) & (\mathrm{NUMBER}=56) \end{array}$

$$\begin{array}{l}X=\text { males } \\Y=\text { females }\end{array}$$

$$\begin{array}{l}\text {SAMPLE PROPORTION OF X \( =0.422018 \) }\\\text {SAMPLE SIZE OF \( X=109 \) }\\\text {SAMPLE PROPORTION OF Y \( =0.25 \) }\\\text {SAMPLE SIZE OF Y \( =52 \) }\\\\\text {PROPORTION X - PROPORTIOIY=0.172018 }\\\text {Z=2.11825} \end{array}$$

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.

A) .0170
B) .0340
C) .4681
D) .2119