Question

A chi-square test of independence was used to determine whether race and medical aid (like insurance) were associated in a study of South African babies. Using the output shown below determine the most appropriate interpretation from among the choices given:

	Race
Medical aid	Black	White	Total
Yes	127 (220.1)	114 (20.9)	241
No	1325 (1231.9)	24 (117.1)	1349
Total	1452	138	1590

Pearson Chi-Square = 534.64, DF = 1, P-Value = 0.000

Select one:

a. None of these choices.

b. There may be no association between race and medical aid

c. There is an association between race and medical aid. White babies were more likely to have aid than black babies.

d. There is an association between race and medical aid. Black babies were more likely to have aid than white babies.

e. There is an association between race and medical aid. Observed and expected values were the approximately equal.

Answer 1

Answer

it is given that the p value is 0.0000

this p value is less than 0.05 significance level, which means that we can reject the null hypothesis

Null hypothesis for chi square test of independence is given as "there is no association between variables" and alternate hypothesis is given as "there is a significant association between the variables"

so, based on the p value, we can say that there is a significant association between race and medical aid

white babies have 114 with medical aid out of 138 and black babies have127 with medical aid out of 1452

So, white babies are more likely to have medical aid than black babies

therefore, option C