Instruction 10-10
A few years ago, Pepsi invited consumers to take the "Pepsi Challenge". Consumers were asked to decide which of the two soft drinks, 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, $p _ { M }$ = 0.422018 Females: n = 52, $p _ { F }$ = 0.25 $p _ { M }$ - $p _ { F }$ = 0.172018 Z = 2.11825
-Referring to Instruction 10-10,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.
A) 0.0340
B) 0.4681
C) 0.2119
D) 0.0171

Question

Quizplus · Accepted Answer

The p-value can be found by looking up the Z-score of 2.11825 in a standard normal distribution table or using a calculator. This gives a p-value of 0.0171, which is less than the alpha level of 0.05 commonly used for hypothesis testing. Therefore, we can reject the null hypothesis and conclude that there is evidence that males prefer Pepsi more than females.

Instruction 10-10 a Few Years Ago, Pepsi Invited Consumers pMp _ { M }pM​

Instruction 10-10
a Few Years Ago, Pepsi Invited Consumers $p _ { M }$