Question

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12. A researcher was interested in analyzing whether or not there was an association between gender and performance. For this objective the data is represented in the following Table. [6 Less than 60% More than 60% Male 43 38 Female 40 42) Use eniral ralue =3.841

Answer 1

Ans:

Chi square test for independence:

	Observed(fo)
	less than	more than	Total
Male	43	38	81
female	40	42	82
Total	83	80	163
	Expected(fe)
	less than	more than	Total
Male	41.25	39.75	81
female	41.75	40.25	82
Total	83	80	163
	Chi square=(fo-fe)^2/fe
	less than	more than	Total
Male	0.075	0.077	0.152
female	0.074	0.076	0.150
Total	0.148	0.154	0.302

Test statistic:

Chi square=0.302

critical chi square=3.841

As,test statistic is less than critical chi square,we fail to reject the null hypothesis.

There is not sufficient evidence to conclude that there is an association between the gender and performance.