In: Statistics and Probability
A random sample of size n = 71 is taken from a population of size N = 639 with a population proportion p = 0.73.
a-1. Is it necessary to apply the finite population correction factor?
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 0.66? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)
Finite correction factor
If n/N is less than 0.05, The finite correction can be ignored
If n/N is greater than 0.05, The finite correction must be used.
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Refer Standard normal table/Z-table to find the probability.