Supplement test. A pharmaceutical company is producing and marketing a vitamin supplement to help fight infections. In an experiment to test the product, subjects were assigned randomly to take the vitamin supplement or a placebo. The number of days of illness from infections was recorded. Here are boxplots comparing the two groups and some computer output from a two-sample t-test computed for the data.

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(a) What does the P-value mean in this context?

(b) What is your conclusion about the effectiveness of the supplement?

(c) Opponents of vitamin supplements continue to insist that it is useless. What type of error do they claim your conclusion makes?


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