Chapter 11.5, Problem 9E

a.

To determine

To find the conclusion about the accuracy of the claim.

Answer to Problem 9E

The company's claim is most likely correct

Explanation of Solution

Given:

The population proportion is $0.54$ when $31$ adults are married in the survey.

Calculation:

The company's claim is most likely correct as more number of adults are surveyed in the population.

b.

To determine

To find the conclusion about the accuracy of the claim.

Answer to Problem 9E

The company's claim is most likely incorrect.

Explanation of Solution

Given:

The population proportion is $0.54$ when $19$ adults are married in the survey.

Calculation:

The company's claim is most likely incorrect because very less number of people are surveyed in the population.

c.

To determine

To estimate the variation among sample proportions for samples of size $50$ .

Answer to Problem 9E

  $0.38-0.62$

Explanation of Solution

Given:

The population proportion is $0.54$ when $31$ adults are married in the survey.

Calculation:

The lowest variation is $\frac{19}{50}=0.38$ and the highest variation is $\frac{31}{50}=0.62$

Therefore range of variation is $0.38-0.62$