A certain drug is used to treat asthma. In a clinical trial of the drug, 15 of 275 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. A. Is the test two-tailed, left-tailed, or right-tailed?
1. Right tailed test
2. Two-tailed test
3. Left-tailed test
b. What is the test statistic?
z=
(Round to two decimal places as needed.)
c. What is the P-value?
P=
(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. H 0 p not equals 0.11
B. H 0 : p equals 0.11
C. H 0 : p less than 0.11
D. H 0 : p greater than 0.11
Decide whether to reject the null hypothesis. Choose the correct answer below.
A. Reject the null hypothesis because the P-value is greater than
greater than the significancelevel, alpha α.
B. Fail to reject the null hypothesis because the P-value is less than or equal to
less than or equal to the significance level, alpha α.
C. Reject the null hypothesis because the P-value is less than or equal to
less than or equal to the significance level, alpha α.
D. Fail to reject the null hypothesis because the P-value is greater than
greater than the significance level, alpha α