Suppose that a survey of race fans at this weeks Daytona 500 NASCAR race were asked, Is

Question:

Suppose that a survey of race fans at this week’s Daytona 500 NASCAR race were asked, Is this your first time attending the Daytona 500? From a random sample of 250 race fans, 100 answered in the affirmative.
a. Find the standard error to estimate the population proportion of first timers.
b. Find the sampling error to estimate the population proportion of first timers with 95% confidence level.
c. Estimate the proportion of repeat fans with 92% confidence level.