Question

In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 65% were enrolled in college. Atc=0.06, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e) (a) Identify the claim and state Ho and H. The claim is the proportion of female college enrollees is the proportion of male college enrollees." Let P4 represent the population proportion for female college enrollees and P2 represent the population proportion for male college enrollees. State Ho and Hy Choose the correct answer below. O A. Ho: P4P2 H:SP2 OD. Ho: P4 SP2 OB. Ho: P1 P2 H, P2P2 OE Ho: P, 2P2 OC. Ho: P1 P2 HP P2 OF. Ho: P4 *P2 Click to select your answer(s).

Answer 1

a) the claim is,......is equal to the proportion,,,,,,,

b)

C. Ho: P1 P2 P2 P1

for critical values: option A is correct :z < -1.88 or z>1.88

c)

	1st group	2nd group
x=	135	104
n =	180	160
p̂=x/n=	0.7500	0.6500
estimated prop. diff =p̂1-p̂2    =		0.1000
pooled prop p̂ =(x1+x2)/(n1+n2)=		0.7029
std error Se=√(p̂1*(1-p̂1)*(1/n1+1/n2) =		0.0497
test stat z=(p̂1-p̂2)/Se =		2.01

d)

O Reject Hy because the test statistic is in the rejection region.