A statistics instructor gave a four-question true-false quiz to his class of 150 students. The results were as follows. Number correct 0 1 2 3 4 Observed 2 13 29 71 35 The instructor thinks that the students may have answered the questions by quoscing so that the probabilit
A statistics instructor gave a four-question true-false quiz to his class of 150 students. The results were as follows. Number correct 0 1 2 3 4 Observed 2 13 29 71 35 The instructor thinks that the students may have answered the questions by quoscing so that the probabilit
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A statistics instructor gave a four-question true-false quiz to his class of 150 students. The results were as
follows.
Number correct 01 2 3 4
Observed
2 13 29 71 35
The instructor thinks that the students may have answered the questions by guessing so that the probability
that any given answer is correct is 0.5. Under this null hypothesis, the number of correct answers has a
binomial distribution with 4 trials and success probability 0.5. Perform a chi-square test of this hypothesis.
Can you reject Ho at the a= 0.05 level?
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