A certain drug is used to treat asthma. In a clinical trial of the drug, 24 of 286 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. a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test O Left-tailed test OTwo-tailed test b. What is the test statistic? 2=0 (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, and what do you conclude about it? Identify the null hypothesis. OA. Ho: p>0.09 OB. Ho: p<0.09 OC. Ho: p=0.09 O D. Ho: p=0.09 1-Prop2Test prop<0.09 z=-0.359521015 p=0.3596026798 p=0.0839160839 n=286
A certain drug is used to treat asthma. In a clinical trial of the drug, 24 of 286 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. a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test O Left-tailed test OTwo-tailed test b. What is the test statistic? 2=0 (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, and what do you conclude about it? Identify the null hypothesis. OA. Ho: p>0.09 OB. Ho: p<0.09 OC. Ho: p=0.09 O D. Ho: p=0.09 1-Prop2Test prop<0.09 z=-0.359521015 p=0.3596026798 p=0.0839160839 n=286
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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![A certain drug is used to treat asthma. In a clinical trial of the drug, 24 of 286 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.
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, and what do you conclude about it?
Identify the null hypothesis.
O A. Ho: p>0.09
B. Ho: p<0.09
O C. Ho: p *0.09
O D. Ho: p=0.09
1-PropZTest
prop<0.09
z = -0.359521015
p=0.3596026798
p=0.0839160839
n=286](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F963f7515-03fc-48e7-b6eb-dd7da14fe76e%2F208d63f4-343d-4f5f-a33d-a26ccec171ff%2Fjvnqep3_processed.png&w=3840&q=75)
Transcribed Image Text:A certain drug is used to treat asthma. In a clinical trial of the drug, 24 of 286 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.
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, and what do you conclude about it?
Identify the null hypothesis.
O A. Ho: p>0.09
B. Ho: p<0.09
O C. Ho: p *0.09
O D. Ho: p=0.09
1-PropZTest
prop<0.09
z = -0.359521015
p=0.3596026798
p=0.0839160839
n=286
![Decide whether to reject the null hypothesis. Choose the correct answer below.
O A. Reject the null hypothesis because the P-value is greater than the significance level, c.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, c.
O C. Fail to reject the null hypothesis because the P-value is greater than the significance level, c.
O D. Reject the null hypothesis because the P-value is less than or equal to the significance level, c.
e. What is the final conclusion?
O A.
There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
B. There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
O C. There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
D. There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F963f7515-03fc-48e7-b6eb-dd7da14fe76e%2F208d63f4-343d-4f5f-a33d-a26ccec171ff%2Fty1131_processed.png&w=3840&q=75)
Transcribed Image Text:Decide whether to reject the null hypothesis. Choose the correct answer below.
O A. Reject the null hypothesis because the P-value is greater than the significance level, c.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, c.
O C. Fail to reject the null hypothesis because the P-value is greater than the significance level, c.
O D. Reject the null hypothesis because the P-value is less than or equal to the significance level, c.
e. What is the final conclusion?
O A.
There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
B. There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
O C. There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
D. There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
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