Question 1043848: Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p 1p1 and p 2p2 at the given level of significance alphaα using the given sample statistics. Assume the sample statistics are from independent random samples.
Claim. P^1= p^2 £=.005
Sample statistic x^1=96 n^1= 171 and x^2=167 n^2 =224
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! 2 sample proportion test:
Ho p1=p2
Ha: p1-p2=0
alpha=0.001
Test statistic is z
Critical value |z|>3.29
z=(p1-p2)/SE
where SE = sqrt[p(1-p){(1/n1)+(1/n2)}]
p1=0.561
p2=0.746
pooled is 0.666
without rounding until the end, SE is 0.0479
p1-p2=-0.185
z=-3.86.
This is significantly different at the 0.001 level, so that we conclude the samples came from different populations or that there was a significant change between the two samples.
On a calculator, use STAT TESTS and 6, 2-Prop Z-test
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