A certain chromosome defect occurs in only 1 in 200 adult Caucasian males. A random sample of n = 100 adult Caucasian males is to be obtained.
a. What is the mean value of the sample proportion p^ , and what is the standard deviation of the sample proportion?
b. Does p^ have approximately a normal distribution in this case? Explain.
c. What is the smallest value of n for which the sampling distribution of p^ is approximately normal?