8. A statistics instructor gave a four question true/false quiz to his class of 150 students. The results are given in the table.

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8. A statistics instructor gave a four question true/false quiz to his class of 150
students. The results are given in the table.
Number of correct answers
1
2
4
Number of students with scores
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 probability of success 0.05 on each trial. Perform a chi square test of
this hypothesis at the 0.05 level of significance.
Transcribed Image Text:8. A statistics instructor gave a four question true/false quiz to his class of 150 students. The results are given in the table. Number of correct answers 1 2 4 Number of students with scores 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 probability of success 0.05 on each trial. Perform a chi square test of this hypothesis at the 0.05 level of significance.
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