In a study conducted by The Wall Street Journal, 350 large U.S. companies were asked how they compensated their CEOs. One question asked if the companies included stock options in their CEO compensation packages; 70% said they did. Another question asked if the companies provided their CEOs personal use of corporate aircraft; 63% said they did (The Wall Street Journal/Hay Group CEO Compensation Study, 2010).

a. Develop an estimate of the standard error of the proportion for the proportion that includes stock options.

b. Develop an estimate of the standard error of the proportion for the proportion that includes personal use of corporate aircraft.

c. Are the estimates of the standard error the same in parts (a) and (b)? If they differ, explain why.

d. Develop an approximate 95% confidence interval for the proportion that includes stock options.

e. Develop an approximate 95% confidence interval for the proportion that includes personal use of corporate aircraft.