Answer Part C Only!! A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c).**Links to Standard Normal Distribution Tables:**- Click here to view the standard normal distribution table (page 1).- Click here to view the standard normal distribution table (page 2).---**(a)** What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he uses an estimate of 48% obtained from a poll?The sample size is **2206**. (Round up to the nearest integer.)**(b)** What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he does not use any prior estimates?The sample size is **2211**. (Round up to the nearest integer.)**(c)** Why are the results from parts (a) and (b) so close?- **A.** The results are close because the confidence 94% is close to 100%.- **B.** The results are close because 0.48(1 − 0.48) = 0.2496 is very close to 0.25.- **C.** The results are close because the margin of error 2% is less than 5%. # Standard Normal Distribution Table## Page 1### Graph ExplanationThe graph presented at the top of the page is a standard normal distribution curve, which is bell-shaped and symmetrical around the mean (zero). The shaded area represents the probability to the left of the given z-value. The vertical line intercepting the x-axis indicates a specific z-value, z, on the distribution.### Standard Normal Distribution TableThe table lists z-values ranging from -3.4 to -0.1 along the leftmost column. The upper row of the table indicates the decimal value (0.00 to 0.09) to add to the z-value from the leftmost column. The intersection of a row z-value and a column decimal value provides the proportion of the standard normal distribution curve to the left of that combined z-value. For example:- z = -3.4, additional 0.00: Probability = 0.0003- z = -2.5, additional 0.06: Probability = 0.0062## Page 2### Graph ExplanationSimilar to page 1, this graph shows another view of the standard normal distribution, emphasizing the shaded area (probability) to the left of a given z-value, z.### Standard Normal Distribution TableThe table continues from where page 1 ends, listing z-values ranging from 0.0 to 2.9. The leftmost column contains these z-values, and the top row represents the decimal additions (0.00 to 0.09). The table cells give the cumulative probability from the left up to the specified z-value. For example:- z = 0.0, additional 0.02: Probability = 0.5080- z = 1.7, additional 0.04: Probability = 0.9582This table is crucial for statistical calculations, often used to find probabilities and percentiles in a normal distribution.

The results from part(a) and part(b) are close because : In part (a) , the given estimate is p = 0.48 In part (b), prior estimate is not given => p = 0.5 Therefore, The results are close because 0.48(1 - 0.48) = 0.2496 is very dose to 0.5*0.5 = 0.25 Answer : option B