Question

Consider a population with population proportion p, and a sample from the population with sample proportion pˆ. Which of the following describes the purpose of the one-sample z-test?[

Answer 1

A one-sample z-test is used to determine if the sample proportion is significantly different from the population proportion.

Step-by-step explanation:

The purpose of a one-sample z-test is to determine if the sample proportion, p-hat, is significantly different from the population proportion, p. It is used to test hypotheses and make inferences about the population based on a sample.

Answer 2

According to CollegeBoard.org:

Answer: "To estimate the probability of observing a value as extreme as pˆ given p."

Explanation: "The test statistic for a one-sample z-test is the distance, in units of standard deviations, between the statistic and the given parameter. From that distance, probabilities (a p-value) can be calculated and a claim can be assessed."