A poll is taken in which 348 out of 525 randomly selected voters indicated their preference...

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.

Solutions

Expert Solution

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

orchestra answered 11 months ago

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