A random sample of size 100 is to be taken from a population that has a proportion equal to 0.35. The sample proportion will be used to estimate the population proportion.
a. Calculate the probability that the sample proportion will be within \pm0.05 of the population proportion.
b. Calculate the probability that the sample proportion will be within \pm1 standard error of the population proportion.
c. Calculate the probability that the sample proportion will be within \pm0.10 of the population proportion.