Cheating? A professor creates two versions of a 20 question multiple choice quiz. Each question has four choices. One student got a score of 19 out of 20 for the version of the rest given to the person sitting next to her . The professor thinks the student was copying another exam. The student admits that he hadn't studied for the test, but he says he was simply guessing on each question 4 and just got lucky. For the professor, the null hypothesis is that p = 0.25 , where p is the probability that the student chooses the correct answer if just guessing, and the alternative is p > 0.25 . Would you say that the p-value for this hypothesis test will be high or low? Explain.
Cheating? A professor creates two versions of a 20 question multiple choice quiz. Each question has four choices. One student got a score of 19 out of 20 for the version of the rest given to the person sitting next to her . The professor thinks the student was copying another exam. The student admits that he hadn't studied for the test, but he says he was simply guessing on each question 4 and just got lucky. For the professor, the null hypothesis is that p = 0.25 , where p is the probability that the student chooses the correct answer if just guessing, and the alternative is p > 0.25 . Would you say that the p-value for this hypothesis test will be high or low? Explain.
Solution Summary: The author explains that the p-value of the provided test will be low or high.
Cheating? A professor creates two versions of a 20 question multiple choice quiz. Each question has four choices. One student got a score of 19 out of 20 for the version of the rest given to the person sitting next to her. The professor thinks the student was copying another exam. The student admits that he hadn't studied for the test, but he says he was simply guessing on each question 4 and just got lucky. For the professor, the null hypothesis is that
p
=
0.25
, where p is the probability that the student chooses the correct answer if just guessing, and the alternative is
p
>
0.25
. Would you say that the p-value for this hypothesis test will be high or low? Explain.
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Part (b)
Draw a scatter plot of the ordered pairs.
N
Life
Expectancy
Life
Expectancy
80
70
600
50
40
30
20
10
Year of
1950
1970 1990
2010 Birth
O
Life
Expectancy
Part (c)
800
70
60
50
40
30
20
10
1950
1970 1990
W
ALT
林
$
#
4
R
J7
Year of
2010 Birth
F6
4+
80
70
60
50
40
30
20
10
Year of
1950 1970 1990
2010 Birth
Life
Expectancy
Ox
800
70
60
50
40
30
20
10
Year of
1950 1970 1990 2010 Birth
hp
P.B.
KA
&
7
80
% 5
H
A
B
F10
711
N
M
K
744
PRT SC
ALT
CTRL
Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore
McGill…
Name
Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore…
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