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Mathematics, 23.10.2019 19:50 jet0120996

Are answer keys to multiple-choice tests generated randomly, or are they constructed to make it less likely for the same answer to occur twice in a row? this question was addressed in an article. they studied 1280 questions on 10 real scholastic assessment tests (sats). assume that all the questions had five choices (in fact 150 of them had only four choices). they found that for 192 of the questions, the correct choice (a, b, c, d, or e) was the same as the correct choice for the question immediately preceding. if the choices were generated at random, then the probability that a question would have the same correct choice as the one immediately preceding would be 0.21. can you conclude that the choices for the sat are not generated at random? a) state the appropriate null and alternate hypothesis. b) compute the value of the test statistic. c) find the p-value and state your conclusion.

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