A certain drug is used to treat asthma. In a clinical trial of the drug, 22 of 2

Question

A certain drug is used to treat asthma. In a clinical trial of the drug, 22 of 277 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 8% 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. a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test Right tailed test Left-tailed test. b. What is the test statistic? z = _________c. What is the P-value? P-value = _______ d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis A. H_0: p notequalto 0.08 B. H_0: p = 0.08 C. H_0: p 0.08 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha. B. Reject the null hypothesis because the P-value is greater than the significance level, alpha. C. reject the null hypothesis because the P-value is less than or equal to the significance level, alpha. D. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha. e. what is the final conclusion? A. there is sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches. B. There is not sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches. C. There is sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches. D. There is not sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches.

Explanation / Answer

Answers

a. Left tailed test

b. -0.0354

c. 0.4859

d. B H0: p = 0.08

D. Fails to reject the null hypothesis because the P-value is greater than the significance level,

e. B. There is not sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches.

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