The Chartered Financial Anaylst (CFA) institute reported that 51% of its U.S. members indicate that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry. (Source: cfa.is/YqVCKB) Suppose that you select a sample of 100 CFA members.
a. (Need answer) What is the probability that the sample percentage indicating that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry will be between 50% and 55%?
b. (Need answer) The probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?
c. (Need answer) The probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage?
d. (Need answer) Suppose you selected a sample of 400 CFA members. How does this change your answers in (a) through (c)/