MATH 104-A Pew Research Center poll in 2010 asked

A Pew Research Center poll in 2010 asked a random sample of 200 adults about their attitudes and opinions concerning the US government. When asked whether or not they felt frustrated (in a yes/no question), 53% reported being frustrated with the government. Let p denote the population who are frustrated. Is there sufficient evidence to conclude respondents' opinions about the US government are not what would would observe by random chance?

• State the assumptions. (5 points)
• State the hypotheses. (5 points)
• Compute the test statistic. (5 points)
• Determine the approximate p-value. (5 points)
• What should they conclude, using a significance level of 0.05? (5 points)