I need help answering all 4 of these questions and needs to include the work shown

week Il's Classworks, Please show work on papers neatly and in pencil. Perform all the Whos as shown in the lecture notes. Missing steps will result in not having full credits. Use the method indicated. Chantix is a drug used as an aid to quit smoking. The numbers of subjects experiencing insomnia for each of two treatment groups in a clinical trial of the drug are given below. Chantix Number in group Placebo 129 Number experiencing Insomnia | 19 805 13 a. At the 0.05 level of significance, test the claim that the number experiencing insomnia is the same in both groups. Does there appear to be a difference? Use the critical value method. b. Find the 95% confidence interval for the difference in the proportion of those experiencing insomnia in the Chantix group and those experiencing insomnia in the placebo group. What can you conclude from this interval? C. Are the hypothesis test and the confidence interval giving the same result? 2. A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seatbelts, 31 were killed. Among 7765 occupants who were wearing seatbelts, 16 were killed . a. Construct the 90% confidence interval estimate of the difference between the fatality rates for those not wearing seatbelts and those wearing seat belts. What can you conclude from this interval? b. At the 0.10 level of significance, test the claim that the fatality rate is higher for occupants not wearing seat belts. Does it appear that seat belts improve safety? Use the p-value method. 3 . Among 2739 female atom bomb survivors from Hiroshima and Nagasaki, 1397 developed thyroid disease. Among 1352 male atom bomb survivors 436 developed thyroid disease. a. Use a 0.01 level of significance to test the claim that the female and male survivors have different rates of thyroid disease. Use the p-value method. b. Construct the 99% confidence interval for the difference between the rates of thyroid disease for female and male survivors. What conclusion does the confidence interval suggest? C. Are the hypothesis test and the confidence interval giving the same result? Lipitor is a drug used to control cholesterol. In clinical trials of Lipitor, 94 subjects were treated with Lipitor and 270 were given a placebo. Among those treated with Lipitor, 7 developed infections. Among those given a placebo, 27 developed infections. a. Use a 0.05 level of significance to test the claim that the rate of infection was lower for those treated with Lipitor. Use the critical value method. . Construct the 95% confidence interval for the difference in the rate of infection for those taking Lipitor and those taking the placebo. c. Are the hypothesis test and the confidence interval giving the same result