Question

A certain drug is used to treat asthma. In a clinical trial of the​ drug, 26 of 285 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 0.01 significance level to complete parts​ (a) through​ (e) below.

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

B. What is the test​ statistic?

z equals = ? ​(Round to two decimal places as​ needed.)

C. What is the​ P-value?

​P-value equals = ? ​(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. Upper H 0 : p less than 0.11H0: p<0.11

B. Upper H 0 : p not equals 0.11H0: p≠0.11

C. Upper H 0 : p equals 0.11H0: p=0.11

D. Upper H 0 : p greater than 0.11H0: p>0.11

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

A. Reject the null hypothesis because the​ P-value is less than or equal toless than or equal to the significance​ level, alphaα.

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

C. Fail to reject the null hypothesis because the​ P-value is less than or equal to less than or equal to the significance​ level, alphaα.

D. Fail to rejectFail to reject the null hypothesis because the​ P-value is greater than the significance​ level, alphaα.

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 not sufficient evidence to warrant rejection of the claim that less than 11​% of treated subjects experienced headaches.

D.There is sufficient evidence to support the claim that less than 11​% of treated subjects experienced headaches.

Answer 1