A poll was taken of 1010 students in a state, about whether or not they play some sports during college. In this sample, 202 students responded "yes". a) Use these data to find a 95% confidence...

Extracted text: A poll was taken of 1010 students in a state, about whether or not they play some sports during college. In this sample, 202 students responded "yes". a) Use these data to find a 95% confidence interval for the population proportion p of all students in this state who play some sports during college. b) What is the sample size needed that would ensure an error margin at most .01 for a 95% confidence interval, if the sample proportion is unknown ?