SOLUTION: Suppose simple random sample size n=1000 is obtained from population whose size is N=1,000,000 and whose population proportion with specified characteristics is p=0.42. What is pro

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Question 997052: Suppose simple random sample size n=1000 is obtained from population whose size is N=1,000,000 and whose population proportion with specified characteristics is p=0.42. What is probability of obtaining X=380 or fewer individuals with the characteristic? Round answer 4 decimal places.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!

n=1000; N is much larger so can use normality, don't need finite population correction factor, and can use z-test
Ho: p>=0.38
Ha:p<0.38
alpha=0.05
Test statistic is 1-sample proportion test
critical value is z< -1.645
z=phat-p/SE
=0.38-0.42/0.0156
z= -2.5641; probability (p-value) of this occurrence by chance is 0.0052
std error is sqrt {(0.42)(0.58)/1000}=0.0156