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

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) (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

RELATED QUESTIONS
A simple random sample of size n = 200 is obtained from a population whose size is N =... (answered by textot)

A simple random sample size of n = 75 is obtained from a population whose size is N =... (answered by reviewermath)

How many different simple random samples of size 4 can be obtained from a population... (answered by stanbon)

How many different simple random samples of size 5 can be obtained from a population... (answered by farohw)

How many different simple random samples of size 5 can be obtained from a population... (answered by ewatrrr)

How many different simple random samples of size 5 can be obtained from a population... (answered by VFBundy)

How many different simple random samples of size 5 can be obtained from a population... (answered by ikleyn)