3.19 Health care satisfaction. A November 2014 Gallup Poll of 828 adults found that 472 are satisfied with the total cost they pay for their health care. The announced margin of error is ±4 percentage points. The announced confidence level is 95%.
(a) What is the value of the sample proportion who say they are satisfied with the total cost they pay for their health care? Explain in words what the population parameter p is in this setting.
(b) Make a confidence statement about the parameter p.