Question

A behavioral scientist investigated whether there is a significant difference in the percentages of men and women who purchase silver-colored cars. The scientist selected a random sample of 50 men and a random sample of 52 women who had recently purchased a new car. Of the men selected, 16 had purchased a silver-colored car. Of the women selected, 9 had purchased a silver-colored car. Which of the following is the most appropriate method for analyzing the results?
A. A two-sample z-test for the difference in sample proportions
B. A one-sample z-test for a sample proportion
C. A one-sample z-test for a population proportion
D . A one-sample z-test for a difference in sample proportions

Answer 1

Answer:

Step-by-step explanation:

Since we are dealing with two independent samples and we want to compare the two sample proprtions and the following are true

The sample sizes for the men and women are large. They are greater than 30 thus, they are normally distributed according to the central limit theorem.

The data points and outcomes are independent of each other.

Therefore, the most appropriate method for analyzing the results is

A. A two-sample z-test for the difference in sample proportions