Question

In a Survey people were asked to report their level of Math Anxiety as High, Medium, Low or None. The table below reflects the results. The question is: Is there evidence

that the level of math anxiety is different for female and male students at the α = 0.1 level of significance?

Perform a Test for Homogeneity of Proportions.

	High/Medium	Low/None
Female	19	9
Male	12	8

Answer 1

Null hypothesis Ho: level of math anxiety is same for female and male students

Alternate hypothesis Ha: : level of math anxiety is different for female and male students

degree of freedom(df) =(rows-1)*(columns-1)=		1
for 1 df and 0.1 level,critical value χ2=		2.71
Decision rule : reject Ho if value of test statistic X2>2.706

Applying chi square test of homogeneity

Expected	Ei=row total*column total/grand total	High/Medium	Low/None	Total
	Female	18.083	9.917	28
	Male	12.917	7.083	20
	total	31	17	48
chi square    χ2	=(Oi-Ei)2/Ei	High/Medium	Low/None	Total
	Female	0.046	0.085	0.1312
	Male	0.065	0.119	0.1837
	total	0.1115	0.2034	0.3149
test statistic X2=		0.315

since test statistic does not falls in rejection region we fail to reject null hypothesis

we do not have have sufficient evidence to conclude that level of math anxiety is different for female and male students