A certain drug is used to treat asthma. In a clinical trial of the drug, 30 of 281 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 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? Right tailed test Two-tailed test Left-tailed test b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? 1-PropZTest prop <0.1 z = 0.377814991 p=0.6472159817 p=0.1067615658 n = 281 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. A. Ho: p<0.1 B. Ho: p=0.1 C. Ho: p > 0.1

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A certain drug is used to treat asthma. In a clinical trial of
the drug, 30 of 281 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 10% of treated subjects
experienced headaches. Use the normal distribution as an
approximation to the binomial distribution and assume a
0.05 significance level to complete parts (a) through (e)
below.
a. Is the test two-tailed, left-tailed, or right-tailed?
Right tailed test
Two-tailed test
Left-tailed test
b. What is the test statistic?
Z=
(Round to two decimal places as needed.)
c. What is the P-value?
1-PropZTest
prop <0.1
z = 0.377814991
p=0.6472159817
p=0.1067615658
^
n = 281
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<0.1
B. Ho: p=0.1
C. Ho: p>0.1
D. Ho: p = 0.1
Transcribed Image Text:A certain drug is used to treat asthma. In a clinical trial of the drug, 30 of 281 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 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? Right tailed test Two-tailed test Left-tailed test b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? 1-PropZTest prop <0.1 z = 0.377814991 p=0.6472159817 p=0.1067615658 ^ n = 281 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<0.1 B. Ho: p=0.1 C. Ho: p>0.1 D. Ho: p = 0.1
A certain drug is used to treat asthma. In a clinical trial of
the drug, 30 of 281 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 10% of treated subjects
experienced headaches. Use the normal distribution as an
approximation to the binomial distribution and assume a
0.05 significance level to complete parts (a) through (e)
below.
C. Ho:p> 0.1
D. Ho: p = 0.1
1-PropZTest
prop <0.1
z = 0.377814991
p=0.6472159817
p=0.1067615658
n = 281
Decide whether to reject the null hypothesis. Choose the correct answer below.
A. Fail to reject the null hypothesis because the P-value is less than or equal to
the significance level, a.
B. Reject the null hypothesis because the P-value is less than or equal to the
significance level, a.
C. Reject the null hypothesis because the P-value is greater than the significance
level, a.
D. Fail to reject the null hypothesis because the P-value is greater than the
significance level, a.
e. What is the final conclusion?
A. There is not sufficient evidence to support the claim that less than 10% of
treated subjects experienced headaches.
B. There is not sufficient evidence to warrant rejection of the claim that less than
10% of treated subjects experienced headaches.
C. There is sufficient evidence to support the claim that less than 10% of treated
subjects experienced headaches.
D. There is sufficient evidence to warrant rejection of the claim that less than
10% of treated subjects experienced headaches.
Transcribed Image Text:A certain drug is used to treat asthma. In a clinical trial of the drug, 30 of 281 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 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. C. Ho:p> 0.1 D. Ho: p = 0.1 1-PropZTest prop <0.1 z = 0.377814991 p=0.6472159817 p=0.1067615658 n = 281 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Reject the null hypothesis because the P-value is greater than the significance level, a. D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. e. What is the final conclusion? A. There is not sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. B. There is not sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. C. There is sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. D. There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman