3. [6 points total] 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 a = 0.10 as their significance level.

a. [3 points] What hypotheses should the group use? Give the hypotheses in words, and also give them using correct symbols.

b. [2 point] Give a specific example of a P-value that would support the group's belief that the poll's estimate is too low.

c. [1 point] 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.