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

15

of

295

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 to complete parts (a) through (e) below.

1-PropZTest
	prop<0.09
	z=2.349789860
	p=0.0093920062
	p=0.0508474576
	n=295

Question content area bottom

Part 1

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

Left-tailed test

Right tailed test

Two-tailed test

Part 2

b. What is the test statistic?

z=enter your response here Round to two decimal places as needed.)

Part 3

c. What is the P-value?

P-value=enter your response here (Round to four decimal places as needed.)

Part 4

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

Identify the null hypothesis.

A.

H0:p<0.09

B.

H0:p>0.09

C.

H0:p=0.09

D.

H0:p0.09

Part 5

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

A. Failtoreject the null hypothesis because the P-value is lessthanorequalto the significance level, .

B. Failtoreject the null hypothesis because the P-value is greaterthan the significance level, .

C. Reject the null hypothesis because the P-value is greaterthan the significance level, .

D. Reject the null hypothesis because the P-value is lessthanorequalto the significance level, .

Part 6

e. What is the final conclusion?

A. There isnot sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.

B. There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.

C. There isnot sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.

D. There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.