Test the hypothesis that philosophy and charitable giving ar

Test the hypothesis that philosophy and charitable giving are independent using the following data and a 0.5 significance level.

Solution

chi square=N(ad-bc)^2/(a+b)(b+c)(c+d)(a+d)

chi square=4.511

critcal value is 3.8414

since the ts is greater than the critical value, H0 is rejected and we conclude that the two variables are not independent.

	conservative	liberal	total
generous	60=a	45=b	105
chea[p	40=c	55=d	95
total	100	100	200