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 ±0.05 of the population proportion.
b. Calculate the probability that the sample proportion will be within ±1 standard error of the population proportion.
c. Calculate the probability that the sample proportion will be within ±0.10 of the population proportion.