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A certain drug is used to treat asthma. In a clinical trial of the drug, 15 of 2

ID: 3320517 • Letter: A

Question

A certain drug is used to treat asthma. In a clinical trial of the drug, 15 of 288 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 0.01 significance level to complete parts (a) through (e) below 1-Frop2Test prop0.09 °C, Ho: p 0.09 Decide whether to reject the null hypothesis. Choose the correct answer belovw OA. Reject the null hypothesis because the P-value is less than or equal to the significance OB. Reject the null hypothesis because the P-value is greater than the significance level Oc. Fail to reject the null hypothesis because the P-value is less than or equal to the OD Fail to reject the null hypothesis because the P-value is greater than the significance level, . . significance level, . level, . e. What is the final conclusion? OA There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches OB. C. D. There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches

Explanation / Answer

c) P-value = P(Z < -2.25) = 0.0122

d) Option-C) H0 : p = 0.09

Option-D) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha

e) Option-C) THer esi not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.

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