Question

In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 65 write with their left hands and 455 do not. We want to use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Test the claim using a hypothesis test.

Group of answer choices

A.P value=0.0926; fail to reject H₀

B.P value=0.0926; reject H₀

C.P value=0.0371; fail to reject H₀

D.P value=0.0926; reject H₀

Answer 1

x1                =	23	x2                =	65
p̂1=x1/n1 =	0.1060	p̂2=x2/n2 =	0.1429
n1                       =	217	n2                       =	455
estimated prop. diff =p̂1-p̂2    =		-0.0369
pooled prop p̂ =(x1+x2)/(n1+n2)=		0.1310
std error Se=√(p̂1*(1-p̂1)*(1/n1+1/n2) =		0.0278
test stat z=(p̂1-p̂2)/Se =		-1.325
P value   =		0.0926

since p value >0.01 ; we fail to reject Ho

correct option is A:  .P value=0.0926; fail to reject H₀