SOLUTION: 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
Algebra ->
Probability-and-statistics
-> SOLUTION: 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
Log On
Question 1043809: 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,£=.001
Sample statistic x^1=98 n^1=143 and x^2=32 n^2=189
You can put this solution on YOUR website! I am assuming alpha =0.001
Ho:p1-p2=0
Ha:p1-p2 ne 0
alpha is 0.001
test stat is a z.
Critical value is |z|>3.29
p1=0.6853
p2=0.1693
pooled p=130/332=0.392
I can use a normal sampling distribution given the sample size and the proportions themselves. They were drawn randomly.
The SE is sqrt [0.392*0.608{(1/143)+(1/189)}]
That is 0.0541
z=(p1-p2)/SE=0.516/0.0541=9.54
This is highly significant at a level far less than 0.001. This is not surprising, given the reasonable size of the samples and the large differences in the point estimates of each proportion.
