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 uniform 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. The publisher wishes to conduct a chi-squared goodness-of-fit test. The distribution of answer choices from a random sample of questions from the software's "test bank" is shown below. Calculate the value of the test statistic to two decimal places. Answer Choice# of Times Correct A B C D 53 49 46 49 35

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Qw.10.2

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 uniform 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. The publisher wishes to
conduct a chi-squared goodness-of-fit test.
The distribution of answer choices from a random sample of questions from the software's "test bank" is shown
below. Calculate the value of the test statistic to two decimal places.
Answer Choice# of Times Correct
A
B
C
53
49
46
49
35
Transcribed Image Text: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 uniform 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. The publisher wishes to conduct a chi-squared goodness-of-fit test. The distribution of answer choices from a random sample of questions from the software's "test bank" is shown below. Calculate the value of the test statistic to two decimal places. Answer Choice# of Times Correct A B C 53 49 46 49 35
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