A very hard True/False question is asked in an exam taken by 400 students. Let X be the number of students and p denotes the proportion of students who answer the question correctly. The designers of the exam want to test whether more people answer the question correctly than would be expected just due to chance (i.e., if everyone randomly guessed the correct answer). Which hypothesis test and its critical region should be used? Ho p=0.5 vs. Ha p>0.5; critical region: X k for some kЄN. O Ho p=0.5 vs. Ha p > 0.5; critical region: X > k for some kЄ N.

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A very hard True/False question is asked in an exam taken by 400 students. Let X
be the number of students and p denotes the proportion of students who answer
the question correctly. The designers of the exam want to test whether more
people answer the question correctly than would be expected just due to chance
(i.e., if everyone randomly guessed the correct answer). Which hypothesis test and
its critical region should be used?
Ho p=0.5 vs. Ha p>0.5; critical region: X<k for some kЄ N.
:
Ho p=0.5 vs. Ha p < 0.5; critical region: X<k for some kЄN.
O Ho p=0.5 vs. Ha p < 0.5; critical region: X > k for some kЄN.
O Ho p=0.5 vs. Ha p > 0.5; critical region: X > k for some kЄ N.
Transcribed Image Text:A very hard True/False question is asked in an exam taken by 400 students. Let X be the number of students and p denotes the proportion of students who answer the question correctly. The designers of the exam want to test whether more people answer the question correctly than would be expected just due to chance (i.e., if everyone randomly guessed the correct answer). Which hypothesis test and its critical region should be used? Ho p=0.5 vs. Ha p>0.5; critical region: X<k for some kЄ N. : Ho p=0.5 vs. Ha p < 0.5; critical region: X<k for some kЄN. O Ho p=0.5 vs. Ha p < 0.5; critical region: X > k for some kЄN. O Ho p=0.5 vs. Ha p > 0.5; critical region: X > k for some kЄ N.
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