A publisher of academic testing software is interested in wh

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). Let p₁ be the proportion of correct answer choices that are A\'s, p₂ be the proportion of answer choices that are B\'s, and so on. A random sample of questions was selected and the correct answer noted for each one.

Question: The publisher wishes to conduct a chi-squared goodness-of-fit test. What are the null and alternative hypotheses for the test?

Solution