Chapter 11, Problem T11.5SPT

To determine

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

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

  ${\chi }^2=6.57$

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.