PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Chapter 11, Problem R11.2RE
To determine

To explain why chi-square test is not appropriate for this setting.

Expert Solution & Answer
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Answer to Problem R11.2RE

The condition of large counts is not satisfied so, could not use Chi-square test.

Explanation of Solution

Given:

    Count of correct answers
    Zero one Two Three Four
    Knowledge of teacher Knowledgeable 5 1 6 3 9
    Ignorant 25 0 3 0 1

  χ2=20.4,P<0.05

The expected values are:

        Zero one Two Three Four Total
    Knowledgeable Observed 5 1 6 3 9 24
      Expected 13.58 0.45 4.08 1.36 4.53 24.00
    Ignorant Observed 25 0 3 0 1 29
      Expected 16.42 0.55 4.92 1.64 5.47 29.00
    Total Observed 30 1 9 3 10 53
      Expected 30.00 1.00 9.00 3.00 10.00 53.00

The expected values of some categories less than 5. Therefore, the condition of large counts is not satisfied. Hence, could not use Chi-square test.

Chapter 11 Solutions

PRACTICE OF STATISTICS F/AP EXAM

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