SOLUTION: If 53% of college applications were submitted online, and I have a sample of 1000 apps., with 530 submitted online, how do I solve this question if I use a significance level of 0.

Question 482742: If 53% of college applications were submitted online, and I have a sample of 1000 apps., with 530 submitted online, how do I solve this question if I use a significance level of 0.01. Do the apps. equal 50%
I know how to state the clain and find the null and alternative hypothesis. I am having problems actually setting up the problem.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If 53% of college applications were submitted online, and I have a sample of 1000 apps., with 530 submitted online, how do I solve this question if I use a significance level of 0.01. Do the apps. equal 50%
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Ho: p = 0.50 (claim)
H1: p is not equal to 0.50
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Sample proportion: 530/1000 = 0.530
test statistic:
z(0.53) = (0.53-0.50)/sqrt[0.5*0.5/sqrt(530)] = 0.2879
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p-value = 2*P(z > 0.2879) = 0.7734
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Since the p-value is greater than 1%, fail to reject Ho.
The test results support the claim.
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Cheers,
Stan H.
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