Question: Attending church. A 2006 Gallup Poll found that 40% of American adults say they attended religious services last week. This is almost certainly not true.
(a) Why might we expect answers to a poll to overstate true church attendance?
(b) You suspect strongly that the true percentage attending church in any given week is less than 40%. You plan to watch a random sample of adults and see whether or not they go to church. What are your null and alternative hypotheses? (Be sure to say in words what the population proportion p is for your study.)