A certain drug is used to treat asthma. In a clinical trial of the​ drug, 28 of 287 treated subjects experienced headaches​ (based on data from the​ manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10​% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts​ (a) through​ (e) below.

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A certain drug is used to treat asthma. In a clinical trial of the​ drug,
28
of
287
treated subjects experienced headaches​ (based on data from the​ manufacturer). The accompanying calculator display shows results from a test of the claim that less than
10​%
of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a
0.05
significance level to complete parts​ (a) through​ (e) below.
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