Question

At a=0. is there enough evidence to support 6. A researcher claims that the proportion of males who have tested positive for Covid-19 is less than the proportion of females that have tested positive for Covid-19. In a random sample of 500 males, 4% of them tested positive. In a random sample of 500 females, 4.3% of them tested positive. At a = 0.01, is there enough evidence to support the researcher's claim?

Answer 1

Let, P1 = Population proportion of males

and P2 = Population proportion of females

Hypothesis:

H0: P1 = P2

Ha: P1 < P2

Test:

X1	20		X2	21.5
n1	500		n2	500
P1^	0.04000	X1/n1	P2^	0.043	X2/n2
Pbar	0.04150	(X1+X2)/(n1+n2)
P1^-P2^	-0.00300
1/n1+1/n2	0.00400
Z stat	-0.2378	(P1^-P2^)/SQRT(Pbar(1-Pbar)(1/n1+1/n2))
P value	0.4060	NORM.S.DIST(z,true)	Left

Decision:

P value > 0.01, Do not reject H0

Conclusion:

There is insufficient evidence to conclude that the proportion of males less than females who have tested for covid-19 test