Question

14.2 For each of the scenarios that follow, report the p-value for the chi-square test. If you use the x-cdf( function on the TI, you can report the exact p-value. If you use Table V, you can report bounds for the p-value. (a) The observed X2 statistic value is 3.2 and the null distribution is the chi-square distribu- tion with one degree of freedom. (b) The observed X2 statistic value is 1.7 and the null distribution is the chi-square distribu- tion with two degrees of freedom. (c) The observed X2 statistic value is 16.5 and the null distribution is the chi-square distri- bution with five degrees of freedom.

Answer 1

a) The p-value for a chi-square test with an observed X2 statistic value of 3.2 and the null distribution is the chi-square distribution with one degree of freedom is 0.0725.

b) The p-value for a chi-square test with an observed X2 statistic value of 1.7 and the null distribution is the chi-square distribution with two degrees of freedom is 0.4321.

c) The p-value for a chi-square test with an observed X2 statistic value of 16.5 and the null distribution is the chi-square distribution with five degrees of freedom is 0.0017.