The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498.
(A) Specify a hypothesis test to test the foundation’s claim
(B) Compared to the most recent survey, is this sample evidence statistically significant at the 10% level?
(C) Compared to the most recent survey, is this sample evidence statistically significant at the 5% level?
(D) Report and interpret the p-value for this test
(E) Interpret the overall test for the foundation.
(EXCEL FORMAT)