Smart meters are a special type of electrical meter that monitors the usage of electricity and communicates that information back to the utility company. According to a report by the Energy Information Administration from December 2017, 47% of homes in the United States were equipped with smart meters in 2016. To test if this percentage has changed, a random sample of 200 U.S. residences was recently selected, and it was found that 96 of them were equipped with smart meters. Using α = 0.05, answer the following:

a. State the null and alternative hypothesis.

b. Based on this sample, do we have enough evidence to conclude that the percentage of homes in the United States equipped with smart meters has changed since 2016?

c. Determine the p-value for this test and interpret its meaning.