14. A. In a random sample of 56 people, 42 are classified as "successful."
a. Determine the sample proportion, p, of "successful" people.
a. p = 0.75 (Round to two decimal places as needed.)
b. If the population proportion is 0.65, determine the standard error of the proportion.
b. σp = 0.0707 (Round to four decimal places as needed.)
B. In a certain country, the proportion of "no-change audits" (that is, audits that uncover that no additional taxes are due) has risen over the years and is currently approximately 0.24. Suppose that a random sample is taken of 200 audits.
a. What is the probability that the sample has between 24% and 26% no-change audits?
a. P(Between 24% and 26% no-change audits) = 0.0796 (Round to four decimal places as needed.)
b. What is the probability that the sample has between 20% and 30% no-change audits?
b. P(Between 20% and 30% no-change audits) = 0.9938 (Round to four decimal places as needed.)
c. What is the probability that the sample has more than 30% no-change audits?
c. P(More than 30% no-change audits) = 0.0062 (Round to four decimal places as needed.)