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 the Energy Information Administration, 26.5% of homes in the United States were equipped with smart meters in 2011. To test if this percentage has changed, a random sample of 200 U. S. residences was recently selected, and it was found that 59 of them were equipped with smart meters. Using σ = 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 2011?

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

d. Verify your results using PHStat.