can someone help me answer A-C

data is bellow for the question with 95% confidence interval

for A

part b answer CI: [0.3024, 0.5776]

spinning: Heads + 22; Tails = 28

P_Spin = 22/50 = 0.44

Confidence intervalfor heads afterspinning a penny activity

Lower limit:0.44+1.96500.44(1?0.44)??=0.3024

Upper limit:0.44+1.96500.44(1?0.44)??=0.5776

CI: [0.3024, 0.5776]

for B

part c answer CI: [0.3614, 0.6358] tilted: heads = 25; tails = 25

P_Tilt = 25/50 = 0.5

Confidence interval for heads after tilting a penny activity

Lower limit:0.5?1.96500.5(1?0.5)??=0.3614

Upper limit:0.5?1.96500.5(1?0.5)??=0.6386

CI: [0.3614, 0.6358]

Exercise 16-11: Penny Activities 16-9, 16-10, 16-11, 17-9, 18-14, 18-15 Refer to the previous two exercises. a. Determine the sample size necessary to estimate the probability that a spun penny lands heads to within a margin-of-error of + .02 with a confidence level of 95%. Use your estimate from part b of Exercise 16-9. b. Determine the sample size necessary to estimate the probability that a tilted penny lands heads to within a margin-of-error of + .02 with a confidence level of 95%. Use your estimate from part c of Exercise 16-9. c. With which penny activity (flipping, spinning, or tilting) is the necessary sample size largest? Why do you think this is the case