The College Board reported that the mean cumulative SAT score (Critical Reading, Mathematics, and Writing) for 2013 college-bound seniors was XXXXXXXXXXOfficials from the Pennsylvania State System of...

The College Board reported that the mean cumulative SAT score (Critical Reading, Mathematics, and Writing) for 2013 college-bound seniors was 1498.3 Officials from the Pennsylvania State System of Higher Education would like to know whether the students enrolled for fall 2013 classes have a mean cumulative SAT score greater than 1498. A random sample of students from across the system is obtained, each cumulative SAT score is recorded, and the mean cumulative score is recorded. State the null and alternative hypotheses.

A marketing research study conducted in 2013 indicated that 11% of all households in the United States have at least one telescope. During May 2013, Venus, Jupiter, and Mercury were visible in a near-perfect triangle formation. A company that manufactures telescopes believes the increased media attention caused more people to buy telescopes in order to see this spectacular sight. State the null and alternative hypotheses in terms of the population proportion of households that have at least one telescope.