| A certain drug is used to treat asthma. In a clinical trial of the drug, 18 of 289 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 11% 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<0.11z=−2.592531243 p=0.0047636264 p=0.0622837370 n=289 |
a. Is the test two-tailed, left-tailed, or right-tailed?
Left-tailed test is the correct answer
b. What is the test statistic?
z=-2.59
(Round to two decimal places as needed.)
c. What is the P-value?
P-value=0.00480
(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≠0.11
B.H0: p>0.11
C.H0: p<0.11
D.H0: p=0.11
Your answer is correct D
Decide whether to reject the null hypothesis. Choose the correct answer below.
A.Reject the null hypothesis because the P-value is greater than the significance level, α.
B.Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
C.Reject the null hypothesis because the P-value is less than or equal to the significance level, α.
D. Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
Correct answer C
e. What is the final conclusion?
A.There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches.
B.There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.
C.There is sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.
D. There is not sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches.
correct answer C