A certain drug is used to treat asthma. In a clinical trial of the? drug, 20 of

Question

A certain drug is used to treat asthma. In a clinical trial of the? drug, 20 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 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.

a. Is the test? two-tailed, left-tailed, or? right-tailed?

?Left-tailed test

Right tailed test

?Two-tailed test

b. What is the test? statistic?

z=

?(Round to two decimal places as? needed.)

c. What is the? P-value?

?P-value=

?(Round to four decimal places as? needed.)

d. What is the null? hypothesis, and what do you conclude about? it?

Identify the null hypothesis.

A. H0: p>0.09

B.H 0 : p=0.09

C.H 0 : p?0.09

D. H 0: p<0.09

Decide whether to reject the null hypothesis. Choose the correct answer below.

A. Fail to reject the null hypothesis because the? P-value greater than the significance? level, ?.

B. Reject the null hypothesis because the? P-value is greater than the significance? level,?.

C. Reject the null hypothesis because the? P-value is less than or equal toless than or equal to the significance? level,?.

D. Fail to reject the null hypothesis because the? P-value is less than or equal toless than or equal to the significance? level, ?.

e. What is the final? conclusion?

A. There is sufficient evidence to support the claim that less than 99?% of treated subjects experienced headaches.

B. There is not sufficient evidence to support the claim that less than 99?% of treated subjects experienced headaches.

C. There is sufficient evidence to warrant rejection of the claim that less than 99?% of treated subjects experienced headaches.

D. There is not sufficient evidence to warrant rejection of the claim that less than 99?% of treated subjects experienced headaches.

1PropZTest

Prop<0.09

z= -1.202501580

p=0.1145846272

p?=0.0696864111

n=287

Explanation / Answer

From the given output:

a) Left - tailed

b) z = -1.20

c) P - value = 0.1146

d) Null hypothesis: H 0 : p = 0.09; Option B is correct.

Decision: Option A is correct.

e) Final conclusion: Option B is correct.

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