A recent Pew Research Center study estimates that 59% of adult Americans find it "stressful and frustrating" to talk about politics with people who disagree with them. A group of statistics students thinks that estimate is too low, and as a group project, will conduct a sample of adult Americans in order to use a hypothesis test. They will use = 0.10 as their significance level.

a.] What hypotheses should the group use? Give the hypotheses in words, and also give them using correct symbols.

b. Give a specific example of a P-value that would support the group's belief that the poll's estimate is too low.

c. To obtain their sample, one of the group members arranges with their cousin, the host of a popular politics and lifestyle podcast, to post a poll to their social media accounts so it reaches the widest possible audience. Is this a good idea? Explain.