clinical trial test, 960 out of 1000 subjects have received protection from the virus. Test the claim using two-tailed test at 0.01 level. (Disregard the continuity correction in your solution.) a. State the null and alternative hypotheses.* Ha p = 0.95, H:: p > 0.95 O Hi p = 0.95, H: p< 0.95 Ha p = 0.95, H:: p# 0.95 O Ha p< 0.95, H:: p> 0.95 None of the above. b. Calculate the critical region. O z<-2.575 or z > 2.575 t<-0.005 or t > 0.0005 O z< - 0.4801 or z > 0.5199 O t<-1.645 or t> 1.645 c. What is the t-value/z-value? * z = 1.45

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
Pfizer claims that their COVID-19 vaccine is 95% effective. Suppose that in a
clinical trial test, 960 out of 1000 subjects have received protection from the
virus. Test the claim using two-tailed test at 0.01 level. (Disregard the continuity
correction in your solution.)
a. State the null and alternative hypotheses.*
H p = 0.95, H:: p> 0.95
Ha: p = 0.95, H:: p < 0.95
O Ha p = 0.95, H: p + 0.95
H: p< 0.95, H.: p > 0.95
None of the above.
b. Calculate the critical region.
z<-2.575 or z > 2.575
O t<-0.005 or t> 0.0005
O z<-0.4801 or z >0.5199
O t<-1.645 ort> 1.645
c. What is the t-value/z-value?*
z = 1.45
t = 1.38
z< 0.05
O z> 0.01
d. Conclusion *
The vaccine is 95% effective.
The vaccine is not 95% effective.
O The efficacy of vaccine is greater than 95%.
Not enough data to draw conclusion.
Transcribed Image Text:Pfizer claims that their COVID-19 vaccine is 95% effective. Suppose that in a clinical trial test, 960 out of 1000 subjects have received protection from the virus. Test the claim using two-tailed test at 0.01 level. (Disregard the continuity correction in your solution.) a. State the null and alternative hypotheses.* H p = 0.95, H:: p> 0.95 Ha: p = 0.95, H:: p < 0.95 O Ha p = 0.95, H: p + 0.95 H: p< 0.95, H.: p > 0.95 None of the above. b. Calculate the critical region. z<-2.575 or z > 2.575 O t<-0.005 or t> 0.0005 O z<-0.4801 or z >0.5199 O t<-1.645 ort> 1.645 c. What is the t-value/z-value?* z = 1.45 t = 1.38 z< 0.05 O z> 0.01 d. Conclusion * The vaccine is 95% effective. The vaccine is not 95% effective. O The efficacy of vaccine is greater than 95%. Not enough data to draw conclusion.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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