Assuming phat75 and n125 Find the confidence interval CI 2 s

Assuming p-hat=.75 and n=125
Find the confidence interval (CI) (2 sub alpha/2) for each of the following:

a.) 96%

b.) 97%

c.) 85%

d.) 78%

Solution

p-hat = 0.75.. s.d = sqrt [ 0.75*0.25 / 125 ] = 0.03872983...

CONFIDENCE INTERVAL for a= [ 0.75 - ( 2.053749*0.03872983) , 0.75 + ( 2.053749*0.03872983) ]
   = [ 0.6704587 , 0.8295413 ].......
for b.. [ 0.75 - ( 2.17009*0.03872983) , 0.75 + (2.17009*0.03872983) ] = [ 0.6659528,0.8340472 ]

for c.. [ 0.75 - ( 1.439531*0.03872983) , 0.75 + (1.439531*0.03872983) ] =[ 0.6942472,0.6942472 ]

for d...[ 0.75 - ( 1.226528*0.03872983) , 0.75 + (1.226528*0.03872983) ] = [0.7024968, 0.7975032 ]