Question: Suppose we are planning to conduct a randomized dietary intervention trial to prevent reoccurrence of breast cancer. Based on previous pilot studies, we anticipate the dietary intervention will reduce the breast cancer rate in the intervention group.

1. State the null and alternative hypotheses
2. Is the alternative hypothesis one-sided or two-sided? Why is your choice reasonable?
3. What is the Type 1 and Type 2 error of the conclusion of this study? State your answer in words.

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