A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 99 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options (A, B, C, D). Correct Answers (n=99) ABCD Count 10 33 30 26 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.01 significance level. (a) Find the test statistic. (b) Find the critical value. (c) is there sufficient data to support the claim? O Yes O No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 99 multiple-choice
questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options (A, B, C, D).
Correct Answers (n=99)
A B C
а
Count
10
33
30
26
Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.01 significance level.
(a) Find the test statistic.
(b) Find the critical value.
(c) Is there sufficient data to support the claim?
○ Yes
○ No
Transcribed Image Text:A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 99 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options (A, B, C, D). Correct Answers (n=99) A B C а Count 10 33 30 26 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.01 significance level. (a) Find the test statistic. (b) Find the critical value. (c) Is there sufficient data to support the claim? ○ Yes ○ No
A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard
a rumor that if you don't know the answer, you should always pick C In a sample of 99 multiple - choice
questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all
of these questions, there were four options (A,B,C,D). Test the claim that correct answers for all multiple-
choice questions are not evenly distributed. Test this claim at the 0.01 significance level. (a) Find the test
statistic. (b) Find the critical value. (c) Is there sufficient data to support the claim? Yes No
A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 99 multiple-choice
questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options (A, B, C, D).
Correct Answers (99)
A B C D
Count 10 33 30 26
Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.01 significance level.
(a) Find the test statistic.
(b) Find the critical value.
(c) Is there sufficient data to support the claim?
○ Yes
O No
Transcribed Image Text:A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C In a sample of 99 multiple - choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options (A,B,C,D). Test the claim that correct answers for all multiple- choice questions are not evenly distributed. Test this claim at the 0.01 significance level. (a) Find the test statistic. (b) Find the critical value. (c) Is there sufficient data to support the claim? Yes No A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 99 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options (A, B, C, D). Correct Answers (99) A B C D Count 10 33 30 26 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.01 significance level. (a) Find the test statistic. (b) Find the critical value. (c) Is there sufficient data to support the claim? ○ Yes O No
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