Five hundred null hypotheses are tested at the = 0.05 level, and 40 of them are
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Five hundred null hypotheses are tested at the α = 0.05 level, and 40 of them are rejected. Assume the tests are independent,
a. Assuming that all 500 null hypotheses are true, what is the probability that a given hypothesis is rejected?
b. Let X be the number of hypotheses that are rejected, so that the observed value of X is
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