# Workers were surveyed to determine the proportion of workers who feel their industry is understaffed. 37% of the responders said they were understaffed. a. Suppose that 200 workers were surveyed. Construct a 95% confidence interval for the proportion of workers who feel their industry is understaffed. b. Suppose that 400 workers were surveyed. Construct a 95% confidence interval for the proportion of workers who feel their industry is understaffed. c. What happens to the margin of error as the sample size is increased from 200 to 400? d. How large would the sample need to be to ensure that the margin of error is 0.05 or less for the confidence interval?

# Workers were surveyed to determine the proportion of workers who feel their industry is understaffed. 37% of the

responders said they were understaffed.

a. Suppose that 200 workers were surveyed. Construct a 95% confidence interval for the proportion of workers who feel their industry is understaffed.

b. Suppose that 400 workers were surveyed. Construct a 95% confidence interval for the proportion of workers who feel their industry is understaffed.

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c. What happens to the margin of error as the sample size is increased from 200 to 400?

d. How large would the sample need to be to ensure that the margin of error is 0.05 or less for the confidence interval?