Question

If n=440 and ˆpp^ (p-hat) =0.75, find the margin of error at a 99% confidence level....

If n=440 and ˆpp^ (p-hat) =0.75, find the margin of error at a 99% confidence level.

As in the reading, in your calculations:
--Use z = 1.645 for a 90% confidence interval
--Use z = 2 for a 95% confidence interval
--Use z = 2.576 for a 99% confidence interval.


Give your answer rounded to three decimal places.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution =   

Given,

n = 440 ....... Sample size

   = 0.75

Our aim is to construct 99% confidence interval.

c = 0.99

= 1 - c = 1- 0.99 = 0.01

  /2 = 0.005 and 1- /2 = 0.995

Search the probability 0.995 in the Z table and see corresponding z value

= 2.576   

Now , the margin of error is given by

E =  /2 *  

= 2.576 * [ 0.75 *(1 - 0.75)/ 440]

= 0.053

Answer :

The margin of error is 0.053

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