Question

A researcher is interested in determining if the amount of time residents’ use on exercise for weight control differs between males and females. The contingency table below shows the gender breakdown of percent of exercise used for weight control. dietex86 % of time exercise to control weight * gender Crosstabulation Count gender Pearson Chi-Square 23.749 a) State the null and alternative hypotheses being tested. (2 point) b) Based on the results of the X2 test, did the proportions of males and females exercising for weight control differ? What evidence are you using to support your answer? (6 points) c) Do the statistical assumptions for the X2 test appear to have been met in this analysis? How do you know? (3 point)

		gender		Total
		1 male	2 female
dietex86 % of time exercise to control weight
	0 0%	24	16	40
	1 less than 25%	23	23	46
	2 25%-50%	20	34	54
	3 50%-75%	17	52	69
4 100%	5	28	33
Total		89	153	242

Answer 1

H0: Gender and Weight control are independent

Ha: Gender and weight control are not independent.

Chisq Stat=23.749

dof=(2-1)*(4-1)=3

pvalue=2.81E-05

Hence, we reject H0 and say gender and weight control are not independent.