The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a GPS navigation system if it had been available for an additional cost of $300.The manager believes from previous information that the proportion is 0.30.Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the GPS navigation system.If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30,which test would you use?
A)Z-test of a population mean
B)Z-test of a population proportion
C)t-test of population mean
D)t-test of a population proportion

Question

Quizplus · Accepted Answer

We would use a Z-test of a population proportion since we are comparing a proportion (the proportion of new compact-car owners who would have purchased a GPS navigation system) to a known value (0.30). The sample size (200) is also large enough to satisfy the normality and independence assumptions required for the Z-test.

The Marketing Manager for an Automobile Manufacturer Is Interested in Determining