A pizza 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 have a favorable view of its brain.It conducts a telephone poll of 300 randomly selected
Households in the area and finds that 96 have a favorable view.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

The Z test for the proportion is the most appropriate test because it is used to test a hypothesis about the proportion of a population that has a certain characteristic. In this case, the population is the 20,000 households in the area, and the characteristic is having a favorable view of the pizza chain. The sample is the 300 randomly selected households, and the sample proportion is 96/300 = 0.32. The Z test for the proportion can be used to test the hypothesis that the population proportion is greater than 0.5, which is the proportion that the pizza chain needs in order to open a new store.

A Pizza Chain Is Considering Opening a New Store in an Area