According to the US Bureau of Labor Statistics selfemployed

According to the U.S. Bureau of Labor Statistics, self-employed persons with home-based businesses work an average of 23 hours per week at home. Which of the following 95% two-sided confidence intervals on the true average number of hours worked per week at home would support the U.S. Bureau of Labor Statistics reported average of 23 hours per week at home.

A. (21.449, 25.332)

B. (25.871, 28.902)

C. (18.569, 21.765)

D. (14.550, 20.012)

Solution

The correct answer is A: (21.449, 25.332).

This is because the confidence interval must contain the U.S. Bureau of Labor Statistics reported average of 23 hours per week for the latter to be true. None of the remaining options contain the reported average of 23 hours. So, the only correct option is A