The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are not enrolled in school and have not earned a high school credential. Last year, the high school dropout rate was 8.1%. A polling company recently took a survey of 1000 people between the ages of 16 and 24 and found that 68 of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased.

a. What is the appropriate hypothesis?

b. What is the test statistic? Round answer to three decimal places.

c. What is the p value? Round answer to four decimal places.

d. At a 5% significance level, what is the conclusion?

e. Let us suppose you later learned that your conclusion is incorrect? What is the error type you committed and what are the error's consequences?