A statistics instructor gave a four-question true-false quiz to his class of 82 students. The results were as follows. Number correct 1 2 3 4 Observed 4 18 24 28 8. Send data to Excel 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 H, at the a= 0.10 level? Use the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 (a) State the null and alternate hypotheses. Ho: The number of correct answers (Choose one) a binomial distribution with 4 trials and success probability 0.5. H: The number of correct answers (Choose one) a binomial distribution with 4 trials and success probability 0.5.

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