In a survey of 2096 U.S. adults, 1740 think football teams of all levels should require players who suffer a head injury to take a set amount of time off from playing to recover. 

(a) Find the point estimate for the population proportion.

(b) Construct a 95% confidence interval for the population proportion. Interpret the results. 

(c) Does it seem possible that the population proportion could be within 99% of the point estimate? Explain.

(d) Find the minimum sample size needed to estimate the population proportion at the 99% confidence level in order to ensure that the estimate is accurate within 3% of the population proportion.