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 T11.5SPT
To determine

To select correct option in which contributes the largest component to the chi-square test statistic.

Expert Solution & Answer
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Answer to Problem T11.5SPT

Option d) is correct.

Explanation of Solution

Given:

    Race/Ethnicity Number of tickets Proportion
    White 69 0.55
    Black 52 0.3
    Hispanic 18 0.08
    Other 9 0.07

  χ2=6.57

Calculation:

The table for chi-square component is,

    Race/Ethnicity observed expected O - E (O - E)² / E % of chisq
    White 69 81.400 -12.400 1.889 28.74
    Black 52 44.400 7.600 1.301 19.79
    Hispanic 18 11.840 6.160 3.205 48.76
    Other 9 10.360 -1.360 0.179 2.72
    Total 148 148.000 0.000 6.573 100.00

Therefore, the largest component with chi-square test statistic is Hispanic with 6.16 more tickets than expected. Hence, option d) is correct.

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PRACTICE OF STATISTICS F/AP EXAM

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