Suppose a chi-square test statistic from a sample of size 1,000 is 38.2 with a p-value of .0001, so the relationship is statistically significant.If the sample size for this study had only been based on a sample size of 100 (but the percentages remained the same), what would the chi-square test statistic have been and what conclusion would have been drawn?
A)Chi-square = 38.2; p-value = .0001; the relationship is statistically significant.
B)Chi-square = 3.82; p-value = .001; the relationship is statistically significant.
C)Chi-square = 3.82; p-value = .052; the relationship is not statistically significant.
D)None of the above.

Question

Quizplus · Accepted Answer

The chi-square statistic is proportional to the sample size. Reducing the sample size from 1,000 to 100 would reduce the chi-square statistic to 3.82. With this smaller statistic, the p-value would be higher, likely around .052, making the relationship not statistically significant.

Suppose a Chi-Square Test Statistic from a Sample of Size