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A pharmaceutical company will begin producing a new antibiotic if more than 75% of patients improve from the treatment. If they give the antibiotic to a random sample of n = 5 patients and 40 of them improve from the treatment, can they conclude that the proportion patients who improve is greater than 0.?5?
a) State the Null and Alternative Hypotheses
b) Find a p-value and state the conclusion of the test at the 0.05 signi?cance level.
c) If they gave the antibiotic to a random sample of n = 250 patients and 200 of them improved, would this change the conclusion of the test at the 0.05 level? State the p~value along with your answer.
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