A major Blu-ray rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with Blu-ray players. It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have Blu-ray players. Which of the following tests will be the most appropriate?
A) t test for the mean
B) Z test for the proportion
C) Pooled-variance t test
D) Separate-variance t test

Question

Quizplus · Accepted Answer

Since the question asks if the proportion of households with Blu-ray players is greater than 25% (5,000/20,000), we need to use a hypothesis test for proportion. The sample size is large enough (n=300) and the population standard deviation is unknown, so a Z-test for proportion is the most appropriate choice.

A Major Blu-Ray Rental Chain Is Considering Opening a New