UK-based Chartered Institute of Management Accountants (CIMA) reports that 57% of its member organizations provide training on ethical standards at work. (Data extracted from bit.ly/Mlt08H.) Suppose that you select a sample of 100 CIMA member organizations.
a. What is the probability that the sample percentage providing training on ethical standards at work will be between 55% and 60%?
b. The probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?
c. The probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage?
d. Suppose you selected a sample of 400 CIMA member organizations. How does this change your answers in (a) through (c)?