**Estimating Sample Size for Population Proportion**To determine the minimum sample size needed to estimate a population proportion, use the following data:- **Margin of error:** 0.058- **Confidence level:** 76%- **Estimated proportion (\( \hat{p} \)):** 0.235This information allows you to calculate the sample size with the given parameters. Use these inputs in the standard formula for sample size calculation to achieve the desired precision and confidence level.

Given,margin of error(E)=0.058sample proportion (p^)=0.235α=1-0.76=0.24α2=0.12Z0.12=1.175 (from Z-table)Sample size(n)=Zα2E2 ×p^ 1-p^Sample size(n)=1.1750.0582×0.235×1-0.235Sample size(n)=73.78Sample size(n)≅74Required sample size(n)=74

Answered: Use the given data to find the minimum…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

use the given data to find the minimum sample size required to estimate a population proportion or percentage. margin of error = 8% confidence level = 95% from a prior study, p-cap is estimated by the decimal equivalent of 50% n =?
Use the margin of error of 5, confidence level of 98%, and o=30, find the minimum sample size required to estimate a normal distribution population mean µ.
Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4122 patients treated with the drug, 155 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of adverse reactions. A. Find the best point estimate of the population proportion p. (round to three decimal places as needed) B.Identify the value of the margin of error E.(round to three decimal places) C. Construct the confidence interval. (round to three decimal places as needed) D. Write a statement that correctly interprets the confidence interval
Find the minimum sample size you should use to assure that your estimate of p will be within the required margin of error around the population p.
use the given data to find the minimum sample size required to estimate the population proportion. margin of error:0.07; confidence level: 95%; from a prior study, p is estimated by the decimal equivalents of 90%
Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean, based on the following sample size of n= 8. 1, 2, 3, 4, 5, 6, 7, and 25 O In the given data, replace the value 25 with 8 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general. ..... Find a 90% confidence interval for the population mean, using the formula or technology.
Use the given confidence interval to find the margin of error and the sample proportion. (0.705,0.733) E = (Type an integer or a decimal.)
Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 323 with 50.2% successes at a confidence level of 95%.
Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 272 with 27.9% successes at a confidence level of 80%. M.E. = % Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. Round final answer to one decimal place Question Help: Video Submit Question MacBook Air 80 888 F5 F6 F7 F8 F1 F2 F3 F4 @ # & 2 3 6. 7 8 W Y S D H. J K C V S LO R
Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 278 with 33 successes at a confidence level of 99.5%. M.E. =

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.058; confidence level: 76%; p :0.235