SOLUTION: If the population proportion is 0.75 and a simple random sample of size 225 will be taken: A) specify the sampling distribution of p bar, the sample proportion B) what is the pro

Question 469190: If the population proportion is 0.75 and a simple random sample of size 225 will be taken:
A) specify the sampling distribution of p bar, the sample proportion
B) what is the probability that the sample proportion will take a value between 0.73 and 0.83
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the population proportion is 0.75 and a simple random sample of size 225 will be taken:
A) specify the sampling distribution of p bar, the sample proportion
mean of all samples of size 225 = 0.75
std of all samples of size 225 = sqrt[0.75*0.25/225] = 0.0289
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B) what is the probability that the sample proportion will take a value between 0.73 and 0.83
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z(0.73) = (0.73-0.75)/0.0289 = -0.6920
z(0.83) = (0.83-0.75)/0.0289 = 2.7682
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P(0.73 < p < 0.83) = P(-0.6920 < z < 2.7682) = 0.5338
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Cheers,
Stan H.

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