A certain drug is used to treat asthma. In a clinical trial of the drug, 19 of 2

Question

A certain drug is used to treat asthma. In a clinical trial of the drug, 19 of 275 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 9% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level. a) Is the test two-tailed, left-tailed, or right-tailed? b. What is the test statistic? c. What is the P-value? d. What is the null hypothesis, and what do you conclude about it? e) What is the final conclusion? TI-84 Prop

Explanation / Answer

a) Alternative hypotheses: p < 0.9

So this is a left tailed test.

b) Test statistic = -1.2116

c) p - value = 0.1128

d) Null hypothesis: p = 0.09

Conclusion: Do not reject the null hypothesis since p - value > 0.05

e) Final conclusion:

There is not enough evidence to support the claim that less than 9% of treated subjects experienced headaches.

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