Chapter 9.5, Problem 37E

The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership.

1. a. Formulate the hypotheses that can be used to determine whether union membership increased in 2014.
2. b. If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test?
3. c. At α = .05, what is your conclusion?