Question 1195369: You wish to test the following claim
(Ha) at a significance level of α = 0.01.
Ho:p1=p2
Ha:p1>p2
You obtain 69.8% successes in a sample of size
n1= 453 from the first population. You obtain 66% successes in a sample of size n2= 477 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! z=(p1-p2)/sqrt(P(1-P)((1/n1)+(1/n2))
P=(316+315)/(453+477)=0.6785 pooled proportion
z=(0.038) sqrt [/(0.6785*0.3215)((1/453)+(1/477))]
=0.038/0.0306
z=1.240
p-value is 0.2150. Where this is rounded will change the z-value. The calculator will give 1.21, but I used the rounded value of 69.8% given.
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