Do you prefer paintings in which the people are fully clothed? This question was asked by a professional survey group on behalf of a national arts organization. A random sample of n, = 57 people who are conservative voters showed that r, = 40 said yes. Another random sample of n, = 65 people who are liberal voters showed that r2 = 35 said yes. Does this indicate that the population proportion of conservative voters who prefer art with fully clothed people is higher? Use a = 0.05. LA USE SALT (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: P1 > P2; H1: P1 = P2 O Ho: P1 = P2; H1 : P1 P2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. What is the value of the sample test statistic? (Test the difference p1 - P2. Do not use rounded values. Round your final answer to two decimal places 1.89 X (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0294 X