A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researcher found that out of the 4700 randomly selected subjects who...

A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researcher found that out of the 4700 randomly selected subjects who took the medication, 301 died of heart diseases. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01, can you conclude that the death rate due to heart disease is lower for the subjects who took the medication than those who took the placebo?

a. State the null and alternate hypotheses (write it mathematically) and write your claim.

b. Find the test statistic z

c. Identify/separate the Rejection region (critical region) and fail to reject region by finding a critical value.

d. Find the p-value and interpret its meaning?

e. Decide whether to reject or fail to reject the null.

f. Interpret the results in context of the claim.

g. Make an inference of this claim using the Confidence Interval Method.