PROBLEM 1: Mike performs 2000 significance tests using a significance level 0.10. Under the assumption that all of the null hypotheses for the 2000 significance tests are true, how many of the 2000 significance tests would he expect to be statistically significant? a. 200 b. 1800 c. 2000
PROBLEM 1: Mike performs 2000 significance tests using a significance level 0.10. Under the assumption that all of the null hypotheses for the 2000 significance tests are true, how many of the 2000 significance tests would he expect to be statistically significant? a. 200 b. 1800 c. 2000
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![PROBLEM 1:
Mike performs 2000 significance tests using a significance level 0.10. Under the assumption that all of
the null hypotheses for the 2000 significance tests are true, how many of the 2000 significance tests
would he expect to be statistically significant?
a. 200
b. 1800
c. 2000
d. 0
e. None of the above.
Solution: a
PROBLEM 2:
In the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican. A
researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to
vote Republican in the next mayoral election has changed. Let p represent the proportion of the
population of all adults over the age of 65 in the city that plan to vote Republican in the next mayoral
election. In terms of p, the researcher should test which of the following null and alternative
hypotheses?
a. Ho: p = 0.47 vs. H₂ : p < 0.47
b. Ho: p = 0.47 vs. H₂ : p > 0.47
c. Ho: p=0.47 vs. H, :p #0.47
Solution: c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74443171-92cd-48a5-b31e-b3a8da357007%2F95671044-5492-4161-a3e8-6ebf2fe3f41b%2Fqo13h1a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM 1:
Mike performs 2000 significance tests using a significance level 0.10. Under the assumption that all of
the null hypotheses for the 2000 significance tests are true, how many of the 2000 significance tests
would he expect to be statistically significant?
a. 200
b. 1800
c. 2000
d. 0
e. None of the above.
Solution: a
PROBLEM 2:
In the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican. A
researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to
vote Republican in the next mayoral election has changed. Let p represent the proportion of the
population of all adults over the age of 65 in the city that plan to vote Republican in the next mayoral
election. In terms of p, the researcher should test which of the following null and alternative
hypotheses?
a. Ho: p = 0.47 vs. H₂ : p < 0.47
b. Ho: p = 0.47 vs. H₂ : p > 0.47
c. Ho: p=0.47 vs. H, :p #0.47
Solution: c.
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