Question

1. Recently there has been a marketing push promoting the new wave of electronic cigarettes in the media. Suppose a new study claims that they have determined that e-cigarette smokers still have a much higher risk for esophageal cancer than non-smokers. Assume the following table of summary statistics describes the SRSs of those in the e-cigarette group versus non-smokers.

Study Group	Average # of cases of esophageal cancer	Standard deviation	Sample Size
E-cigarette Smokers	21.4	1.8	749
Non-Smokers	2.7	0.8	898

1. What is the appropriate t-test to use here?
2. Carry out the appropriate t test to determine if there is a significant difference in the number of esophageal cancer cases in e-cigarette smokers versus nonsmokers. Use an alpha level of 0.05. Be sure to include each of the four steps of hypothesis testing. Do not use excel/ graphing calculator.
3. Construct a 95% confidence interval for the difference in number of esophageal cancer cases between the groups. Interpret your interval correctly. Do not use excel/ graphing calculator

Answer 1