A random sam ple of size n = 100 is taken from a population of size N = 3,000 with a population proportion of p = 0.34.

a. Is it necessary to apply th e finite population correction factor? Explain. Calculate th e expected value and the standard deviation of th e sam ple proportion.

b. W hat is th e probability th a t th e sam ple proportion is greater than 0.37? L056