SOLUTION: A random sample of size n = 62 is taken from a population of size N = 660 with a population proportion p = 0.63. [You may find it useful to reference the z table.]
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-> SOLUTION: A random sample of size n = 62 is taken from a population of size N = 660 with a population proportion p = 0.63. [You may find it useful to reference the z table.]
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Question 1162761: A random sample of size n = 62 is taken from a population of size N = 660 with a population proportion p = 0.63. [You may find it useful to reference the z table.]
a-1. Is it necessary to apply the finite population correction factor?
Yes
No
a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.)
b. What is the probability that the sample proportion is less than 0.55? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)
You can put this solution on YOUR website! Yes, because 62 is more than 5% of 660.
E(X)=0.63
SE=SE prop.*fpc
=sqrt(0.63.*0.37/660) then *sqrt (598/660)=0.0179
z=(0.55-0.63)/0.0179)
=-4.47
probability=0.00001
The calculator will give a higher probability of 0.00001 but without doing the FPC.
