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In a study of self-medication, a simple random sample of 1230 adults completed a survey. The...

In a study of self-medication, a simple random sample of 1230 adults completed a survey. The survey reported that 441 of the adults had a cough during the past month.

(a) What hypotheses should be tested to find out whether, in the population from which the sample was drawn, less than half of the adults had a cough during the past month?

(b) Choose an appropriate test, check assumptions, and find the p-value.

(c) Make a decision at the α = .05-level in the context of the problem.

(d) What is the smallest sample size we could have used for this test while still meeting the assumptions it requires?

Please solve by hand and not by a computer program.

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