A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years,15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. If a simulation of the sample proportion revealed that a result this extreme could occur 8.3% of the time, do the data provide convincing statistical evidence that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers Required:
a. Test the claim using a hypothesis test with the p-value or critical region method. Follow appropriate steps in the book. (please use a null and alternative hypothesis, test statistics, degree of freedom (t-test), p-value/critical region)
b. Test the claim by constructing an appropriate confidence interval. Write a statement that correctly interprets the confidence interval. (please include confidence level, steps to find the margin error, the final confidence interval, interpretation for that interval)