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A group conducted a randomized experiment to see if hormone therapy was helpful for​ post-menopausal women....

A group conducted a randomized experiment to see if hormone therapy was helpful for​ post-menopausal women. The women were randomly assigned to receive a hormone or a placebo. After 5​ years, 104 of the 8513 on the hormone therapy developed cancer and 95 of the 8158 in the placebo group developed cancer. Is this a significant​ difference?

a. State the assumptions and the hypotheses. What assumptions about the two samples are necessary for the significance​ test?

b. Let p represent the probability that someone gets cancer. Let p1 represent the probability that a person who received hormone therapy got​ cancer, and let p2 represent the probability that a person who received a placebo got cancer. Write the claim as a hypothesis test. Choose the correct null and alternative hypotheses below.

c. Find the test statistic.

d. Find the P-value.

e. What is your​ conclusion, for a significance level of 0.01​?

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