A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%. The p-value is
A) .2112.
B) .05.
C) .025.
D) .1056.

Question

Quizplus · Accepted Answer

The p-value of .1056 suggests that there is a 10.56% chance of observing a sample proportion of 85% or more in favor of Candidate A if the true population proportion in favor of Candidate A is 80%. This is calculated using a hypothesis test for a proportion, where the null hypothesis is that the population proportion is 0.80 and the alternative hypothesis is that the population proportion is greater than 0.80. The p-value indicates the probability of obtaining a result as extreme as the one observed, under the assumption that the null hypothesis is true.

A Random Sample of 100 People Was Taken