Of the 9,726 women randomly assigned to use tamoxifen daily, 163 developed invasive breast cancer sometime during the next five years, compared to 168 in the group of 9,745 who were randomly assigned to use raloxifene daily.

a. Define the parameters of interest. Assign symbols to these parameters.

b. Explain why it would be OK to use the theory-based method (that is, normal distribution-based method) to find a confidence interval for this study.

c. Use an appropriate applet to find and report the theory-based 99% confidence interval.

d. Interpret the 99% confidence interval in the context of the study.

e. Relatively speaking, is the 99% confidence interval narrow or wide? Explain why that makes sense.

5.3.14) Recall the data from the STAR study in the previous problem Of the 9,726 women randomly assigned to use tamoxifen daily, 163 developed invasive breast cancer sometime during the next five years, compared to 168 in the group of 9,745 who were randomly assigned to use raloxifene daily.

a. Calculate the observed value of the relative risk of developing invasive breast cancer comparing women who took tamoxifen daily to those who took raloxifene daily.

b. Suppose that you were to calculate a 95% confidence interval for the long-run relative risk of developing invasive breast cancer comparing women who will take tamoxifen daily to those who will take raloxifene daily. Will the number 1 lie within this interval? Explain your reasoning.