Atelevision sports commentator wants to estimate the proportion of citizens who "follow professional football." complete parts (a) through (c). (a) what sample size should be obtained if he wants to be within 4 percentage points with 94% confidence if he uses an estimate of 52% obtained from a poll? the sample size is nothing. (round up to the nearest integer.) (b) what sample size should be obtained if he wants to be within 4 percentage points with 94% confidence if he does not use any prior estimates? the sample size is nothing. (round up to the nearest integer.) (c) why are the results from parts (a) and (b) so close? a. the results are close because 0.52 left parenthesis 1 minus 0.52 right parenthesis equals0.2496 is very close to 0.25. b. the results are close because the confidence 94% is close to 100%. c. the results are close because the margin of error 4% is less than 5%.