Question

A certain drug is used to treat asthma. In a clinical trial of the​ drug, 2727 of 287287 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 1212​% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.010.01 significance level to complete parts​ (a) through​ (e) below.

​1-PropZTest propless than<0.120.12 zequals=negative 1.351450141−1.351450141 pequals=0.08827564060.0882756406 ModifyingAbove p with caretpequals=0.09407665510.0940766551 nequals=287287

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

​Left-tailed test

Your answer is correct.

Right tailed test

​Two-tailed test

b. What is the test​ statistic?

zequals=negative 1.35−1.35

​(Round to two decimal places as​ needed.)

c. What is the​ P-value?

​P-valueequals=0.08830.0883

​(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 equals 0.12H0: p=0.12

B.

Upper H 0 : p less than 0.12H0: p<0.12

C.

Upper H 0 : p not equals 0.12H0: p≠0.12

D.

Upper H 0 : p greater than 0.12H0: p>0.12

Answer 1