Question

Determine the standardized test Zo, to test the claim about the population proportion p not equal to o.325 given n = 42 and phat=.247. Use significance sign = 0.05

Answer 1

null Hypothesis:               Ho:   p		=	0.325
alternate Hypothesis:    Ha: p		≠	0.325

for 0.05 level with two tailed test , critical z=			1.9600
Decision rule :   reject Ho if absolute value of test statistic |z|>1.96

sample size          n    =		42
std error   se =√(p*(1-p)/n) =		0.0723
sample proportion p̂ = x/n=		0.2470
test stat z0 =(p̂-p)/√(p(1-p)/n)=		-1.08

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