QUESTION 14 A publisher of academic testing software is interested in whether th

Question

QUESTION 14 A publisher of academic testing software is interested in whether the system that generates the questions and answers does so in a way that ensures that the distribution of correct answers is even across all answer choices. If some answer choices are more likely to be chosen than others, unethical test preparation companies could use the uneven distribution of answers to give their clients an unfair 'edge. The test has 5 answer choices per question A B, C D, or E Letting pl be the proportion of correct answer choices that are A, p2 be the proportion of answer choices that are B's, and so on. The publisher wishes to conduct a chi-squared goodness-of-fit test. What is the value of the chi-square distribution that marks the rejection region for a hypothesis tost at the a 0.01 level?

Explanation / Answer

The number of answer choice is 5. Hence, the degree of freedom is 5-1=4. Therefore, the required critical value of the chi-square that makes the rejection region for the hypothesis test at alpha=0.01 level is 13.2767.

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