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.

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

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If n=280 and ˆpp^ (p-hat) =0.71, find the margin of error at a 99% confidence level...
If n=280 and ˆpp^ (p-hat) =0.71, find the margin of error at a 99% confidence level Give your answer to three decimals
a) If n=390 and ˆpp^ (p-hat) =0.88, find the margin of error at a 99% confidence...
a) If n=390 and ˆpp^ (p-hat) =0.88, find the margin of error at a 99% confidence level Give your answer to three decimals b)Out of 200 people sampled, 44 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places c) If n=25, ¯xx¯(x-bar)=32, and s=2, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population....
If n=410 and ˆpp^ (p-hat) =0.41, find the margin of error at a 95% confidence level...
If n=410 and ˆpp^ (p-hat) =0.41, find the margin of error at a 95% confidence level Give your answer to three decimals
If n=460 and ˆpp^ (p-hat) =0.52, find the margin of error at a 95% confidence level...
If n=460 and ˆpp^ (p-hat) =0.52, find the margin of error at a 95% confidence level Give your answer to three decimals
If n=160 and ˆpp^ (p-hat) =0.28, find the margin of error at a 90% confidence level...
If n=160 and ˆpp^ (p-hat) =0.28, find the margin of error at a 90% confidence level Give your answer to three decimals
If n=210 and ˆpp^ (p-hat) =0.74, find the margin of error at a 90% confidence level...
If n=210 and ˆpp^ (p-hat) =0.74, find the margin of error at a 90% confidence level Give your answer to three decimals Submit Question
If n=180n=180 and ˆpp^ (p-hat) =0.17, find the margin of error at a 90% confidence level....
If n=180n=180 and ˆpp^ (p-hat) =0.17, find the margin of error at a 90% confidence level. ______________________________ Round to 4 places. z-scores may be rounded to 3 places or exact using technology.
If n=410 and ˆp (p-hat) =0.32, find the margin of error at a 99% confidence level...
If n=410 and ˆp (p-hat) =0.32, find the margin of error at a 99% confidence level =_____________ Give your answer to three decimals
If n=350 and ˆp (p-hat) =0.21, find the margin of error at a 90% confidence level...
If n=350 and ˆp (p-hat) =0.21, find the margin of error at a 90% confidence level Give your answer to three decimals
In a recent poll, 500 people were asked if they liked baseball, and 57% said they...
In a recent poll, 500 people were asked if they liked baseball, and 57% said they did. Find the margin of error of this poll, at the 95% 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.