Generally speaking, would you say that most people can be trusted? A random sample of n, = 244 people in Chicago ages 18-25 showed that r, = 42 said yes. Another random sample of n2 = 285 people in Chicago ages 35-45 showed that 2 = 75 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. LO 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. The Student's t. The number of trials is sufficiently large. 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.) -2.56 X (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)Would you favor spending more federal tax money on the arts? Of a random sample of n, = 240 women, 1 = 63 responded yes. Another random sample of n2 = 175 men showed that 2 = 59 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? 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 b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal. The Student's t. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference P, - P2. Do not use rounded values. Round your final answer to two decimal places.) 0.3873 X (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.1212 X