Generally speaking, would you say that most people can be trusted? A random sample of n1 = 253 people in Chicago ages 18-25 showed that r1 = 41 said yes. Another random sample of n2 = 283 people in Chicago ages 35-45 showed that r2 = 74 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use α = 0.05. (a) What is the level of significance?   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.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at a 5 %. A random sample of 900 women who use the manufacturer's pill shows that 103 suffer side effects. The p-value of this test is: O a. 0.1144 Ob. 0.0644 O C. 0.1000 Od. 0.0743 e. 0.0144

Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 367 of the 526 randomly selected wildfires looked at in the south were caused by humans while 390 of the 594 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer > Select an answer > Select an answer O (please enter a decimal) H j: Select an answer Select an answer > Select an answer O (Please enter a decimal) c. The test statistic (please show = your answer to 3 decimal places.) d. The p-value (Please show your answer to %3D 4 decimal places.)

Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 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 ? = 0.05.   (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2    H0: p1 = p2; H1: p1 ≠ p2H0: 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 standard normal. 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…