7. A certain drug is used to treatasthma. In a clinical trial of the​ drug, 20 of 286 treatedsubjects experienced headaches​ (based on data from the​manufacturer). The accompanying calculator display shows resultsfrom a test of the claim that less than 12​% of treated subjectsexperienced headaches. Use the normal distribution as anapproximation to the binomial distribution and assume a 0.05significance level to complete parts​ (a) through​ (e) below.
a. Is the test​ two-tailed,left-tailed, or​ right-tailed?
Right tailed test
​Left-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, andwhat do you conclude about​ it?
Identify the null hypothesis.
A:Ho<0.09
B:Ho>0.09
C:Ho:p≠0.09
D:Ho:p=0.09
Decide whether to reject the nullhypothesis. Choose the correct answer below.
A.Reject the null hypothesis becausethe​ P-value is greater than the significance​ level, alpha.
B.Reject the null hypothesis becausethe​ P-value is less than or equal to the significance​ level,alpha.
C.Fail to reject the null hypothesisbecause the​ P-value is greater than the significance​ level,alpha.
D.Fail to reject the null hypothesisbecause the​ P-value is less than or equal to the significance​level, alpha.
e. What is the final​ conclusion?
A.There is not sufficient evidence tosupport the claim that less than 9​% of treated subjectsexperienced headaches.
B.There is not sufficient evidence towarrant rejection of the claim that less than 9​% of treatedsubjects experienced headaches.
C.There is sufficient evidence towarrant rejection of the claim that less than 9​% of treatedsubjects experienced headaches.
D.There is sufficient evidence tosupport the claim that less than 9​% of treated subjectsexperienced headaches.
