Presidential Approval Let TT represent the population proportion of adult Americans who respond favorably when asked about the president's job performance. Suppose that 50% of adult Americans respond favorably when asked about the president's job performance, and suppose you plan to take a simple random sample (SRS) of n adult Americans. a. Use the Central Limit Theorem to calculate the standard deviation of the sampling distribution of the sample proportion of adult Americans who respond favorably, for each of the following values of n. Round your answers to four decimal places. 58 F O 22 Mostly cloudy M 10:59 PM 4/10/2022 DELL F7 F8 F9 F10 F11 F12 PrtSer Insert Delete F1 F2 F3 F4 F5 F6When n = 150, standard deviation =_ Question 2 (1 point) When n = 300, standard deviation = _ _ _ A/ 10:59 PM 58-F O M 4/10/202 Mostly cloudy DELLQuestion 3 ( 1 point) When n = 600, standard deviation = _ _ _ Question 4 (1 point) When n = 1200, standard deviation = _ _ _ 58 F O 10:59 PM Mostly cloudy M 4/10/2022 DELL F11 F12 PrtScr InsertQuestion 5 (1 point) When n = 2400, standard deviation = Question 6 (1 point) 58-F Mostly cloudy DELL F2 F3 F4 F5 F6 F7 F8 FO F10 F11 F12 Esc F1 MAX DIIb. Comment on how the standard deviation changes as the sample size increases. As the sample size increases, the sampling standard deviation decreases As sample size increases the standard deviation stays the same There is no relationship between sample size and sampling standard deviation O As sample size increases the standard deviation doubles 58-F O M Mostly cloudy DELLAs the sample size increases, the sampling standard deviation increases 58-F Mostly cloudy CO e M DELL Esc F1 F2 F3 F4 F5 F6 F7 F8 Fg F10 F11 F1 X DII 9 a # $ % A & 2 3 4 5 6 V 8