In: Statistics and Probability
A poll is taken in which 348 out of 525 randomly selected voters
indicated their preference for a certain candidate.
(a) Find a 99% confidence interval for p.
≤. p. ≤.
(b) Find the margin of error for this 99% confidence interval for
p.
We have given,
x=348
n=525
Estimate for sample proportion=
0.6629
Level of significance is =0.01
Z critical value(using Z table)=2.576
a)
Confidence interval formula is
=(0.6098, 0.7160)
Lower limit for confidence interval=0.6098
Upper limit for confidence interval=0.7160
(b)
=0.0531
Margin of error E=0.0531