A population proportion is 0.35. From this population you select random samples of 50.
a. Test the conditions necessary to apply the central limit theorem. Are they satisfied? Why?
b. What is the standard error of the sampling distribution of sample proportions?
c. What is the probability that a sample proportion is more than .75?
d. What is the probability that a sample proportion is less than .45?
e. What is the probability that a sample proportion is between .45 and .75?
f. What is the probability that the sampling error (p − π) would be .1 or less? That is, what is the probability that an estimate of a population proportion is between .25 and .45?