A certain drug is used to treat asthma. In a clinical trial of the​ drug, 22 of 263 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 9​% 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.     ​1-PropZTest   prop<0.09   z=−0.359829401   p=0.3594873575   p=0.0836501901   n=263       Question content area bottom Part 1 a. Is the test​ two-tailed, left-tailed, or​ right-tailed?   ​Two-tailed test   ​Left-tailed test   Right tailed test Part 2 b. What is the test​ statistic?   z=enter your response here ​(Round to two decimal places as​ needed.) Part 3 c. What is the​ P-value?   ​P-value=enter your response here ​(Round to four decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A certain drug is used to treat asthma. In a clinical trial of the​ drug,
22
of
263
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
9​%
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.
 
 
​1-PropZTest
 
prop<0.09
 
z=−0.359829401
 
p=0.3594873575
 
p=0.0836501901
 
n=263
 
 
 

Question content area bottom

Part 1
a. Is the test​ two-tailed, left-tailed, or​ right-tailed?
 
​Two-tailed test
 
​Left-tailed test
 
Right tailed test
Part 2
b. What is the test​ statistic?
 
z=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
c. What is the​ P-value?
 
​P-value=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
d. What is the null​ hypothesis, and what do you conclude about​ it?
 
Identify the null hypothesis.
 
A.Upper H 0 : p equals 0.09
H0: p=0.09
 
B.Upper H 0 : p less than 0.09
H0: p<0.09
 
C.Upper H 0 : p greater than 0.09
H0: p>0.09
 
D.Upper H 0 : p not equals 0.09
H0: p≠0.09
Part 5
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 to
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
greater than
the significance​ level,
α.
 
D.
Fail to reject
the null hypothesis because the​ P-value is
greater than
the significance​ level,
α.
Part 6
e. What is the final​ conclusion?
 
A.
There
is not
sufficient evidence to support the claim that less than
9​%
of treated subjects experienced headaches.
 
B.
There
is
sufficient evidence to support the claim that less than
9​%
of treated subjects experienced headaches.
 
C.
There
is
sufficient evidence to warrant rejection of the claim that less than
9​%
of treated subjects experienced headaches.
 
D.
There
is not
sufficient evidence to warrant rejection of the claim that less than
9​%
of treated subjects experienced headaches.
 
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