Question

Recall the formula for a proportion confidence interval is p^?zp^(1?p^)n?????????<p<p^+zp^(1?p^)n????????? Thus, the margin of error is...

Recall the formula for a proportion confidence interval is

p^?zp^(1?p^)n?????????<p<p^+zp^(1?p^)n?????????

Thus, the margin of error is E=zp^(1?p^)n????????? .

NOTE: the margin of error can be recovered after constructing a confidence interval on the calculator using algebra (that is, subtracting p^ from the right endpoint.)

In a simple random sample of size 59, taken from a population, 20 of the individuals met a specified criteria.

a) What is the margin of error for a 90% confidence interval for p, the population proportion?

b) What is the margin of error for a 95% confidence interval for p?

NOTE: These margin of errors are greater than .10 or 10%.

c) How big of a sample is needed to be certain that we have a margin of error less than .10 (or 10%) at 90% confidence?

d) How big of a sample is needed to be certain that we have a margin of error less than .10 (or 10%) at 95% confidence?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Recall the formula for a proportion confidence interval is p^?zp^(1?p^)n?????????<p<p^+zp^(1?p^)n????????? Thus, the margin of error is...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • In a simple random sample of size 51, taken from a population, 24 of the individuals...

    In a simple random sample of size 51, taken from a population, 24 of the individuals met a specified criteria. a) What is the margin of error for a 90% confidence interval for p, the population proportion? Round your response to at least 4 decimal places. Number b) What is the margin of error for a 95% confidence interval for p? Round your response to at least 4 decimal places. Number NOTE: These margin of errors are greater than .10...

  • הסט Determine the margin of error for a confidence interval to estimate the population proportion for...

    הסט Determine the margin of error for a confidence interval to estimate the population proportion for the following confidence levels with a sample proportion equal to 0.35 and n 120 Nama 90% c.99% Click the icon to view a portion of the Cumulative Probabilities for the Standard Normal Distribution table Due: Curre Atter Late The margin of enor for a confidence interval to o und to three decimal places as needed) imate the population proportion for the confidence levels

  • Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p , the margin of error, and the confidence interval. A...

    Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p , the margin of error, and the confidence interval. Assume the results come from a random sample. A 95% confidence interval for the proportion of the population in Category A given that 18% of a sample of 450 are in Category A. Round your answer for the point estimate to two decimal places, and your...

  • Question Help 8.4.3 Determine the margin of error for a confidence interval to estimate the population...

    Question Help 8.4.3 Determine the margin of error for a confidence interval to estimate the population proportion for the following confidence levels with a sample proportion equal to 0.38 and n 100. a, 90% b. 95% c.98% Click the icon to view a portion of the Cumulative Probabilities for the Standard Normal Distribution table a. The margin of error for a confidence interval to estimate the population proportion for the 90% confidence level is Round to three decimal places as...

  • DOH Determine the margin of error for a 90% confidence interval to estimate the population proportion...

    DOH Determine the margin of error for a 90% confidence interval to estimate the population proportion with a sample proportion equal to 0.90 for the following sample sizes. an 100 bin 200 cn=260 Nam Due Click the icon to view a portion of the Qurtulative Probabilities for the Standard Normal Distribution table. Currea. The main forror for a 90% confidence interval to estimate the population proportion with a sample proportion equal to 0.90 and sample siren 100 is (Round to...

  • To calculate a confidence interval, the margin of error (E) must first be calculated. The Margin...

    To calculate a confidence interval, the margin of error (E) must first be calculated. The Margin of Error, E, for means is: E = 1.96*s/sqrt(n), where s is the sample standard deviation, n is the sample size. The “sqrt” stands for square root. The Margin of Error, E, for proportions is: E = 1.96*sqrt[p*(1-p)/n], where s is the sample standard deviation, n is the sample size, and p is the proportion. Use the Confidence Interval formula above, and the correct...

  • Determine the sample size needed in forming a 95% confidence interval for a proportion with margin...

    Determine the sample size needed in forming a 95% confidence interval for a proportion with margin of error of 0.04. (Use the “safe approach” for the population proportion (i.e., p=.50) Repeat part a.) for a margin of error of 0.02.

  • sample should be taken to provide a 95% confidence interval with a margin of error of...

    sample should be taken to provide a 95% confidence interval with a margin of error of .05? At 95% confidence, how large a sample should be taken to obtain a margin of error of .03 for the estimation of a population proportion? Assume that past data are not available for developing a planning value for p* 34.

  • Determine the margin of error for a 99​% confidence interval to estimate the population proportion with...

    Determine the margin of error for a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.90 for the following sample sizes. a. nequals100             b. nequals180             c. nequals260 LOADING... Click the icon to view a portion of the Cumulative Probabilities for the Standard Normal Distribution table. a. The margin of error for a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.90 and sample size nequals100 is nothing.

  • Determine the margin of error for a confidence interval to estimate the population mean with n=25...

    Determine the margin of error for a confidence interval to estimate the population mean with n=25 and s​ =1.6 for the confidence levels below. ​a) 80​% ​b) 90​% ​c) 99​% ​a) The margin of error for an 80​% confidence interval is. ​(Round to two decimal places as​ needed.) ​b) The margin of error for a 90​% confidence interval is. ​(Round to two decimal places as​ needed.) ​c) The margin of error for a 99​% confidence interval is. ​(Round to two...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT