In a study of longevity in a village in Ecuador, 29 persons in a population of 99 were age 65 or older. If it is also known that 20% of the U.S. population is 65 or older, does it appear that the proportion of Ecuadorian villagers surviving to 65 and beyond exceeds that of people in the United States? Use α=.01.
(Please show work)
a. null and alternative hypotheses
b. compute the test value
c. find the p-value d. make a decision (reject or fail to reject) and summarize results