Population Proportion Calculator Margin Of Error
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a larger sample size. What confidence level do you need? Typical choices are 90%, 95%, or 99% % The confidence level specifies the amount of uncertainty associated with your estimate. This is the chance that the margin of error will contain the true proportion. A higher confidence level requires a larger sample size. How big is the population? If you don't know, use 100,000 How many people are there in the population from which you are sampling? The sample size doesn't change much for populations larger than 100,000. What do you believe the likely sample proportion to be? If you're not sure, leave this as 50% % What do you expect the sample proportion to be? This can often be determined by using the results from a previous survey, or by running a small pilot study. Your recommended sample size is 383 This is the minimum sample size you need to estimate the true population proportion with the required margin of error and confidence level. Alternative Scenarios With a sample size of Your margin of error would be 9.79% 3.08% 0.93% With a margin of error of % % % Your sample size would be 8763 2345 383 With a confidence level of % % % Your sample size would be 270 383 660 With a population size of Your sample size would be 80 278 370 With a sample proportion of % % % Your
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Statistics II for Dummies Load more EducationMathStatisticsHow to Calculate the Margin of Error for margin of error sample size a Sample Proportion How to Calculate the Margin of Error for a Sample Proportion Related Book Statistics For Dummies, 2nd Edition By sample proportion formula Deborah J. Rumsey When you report the results of a statistical survey, you need to include the margin of error. The general formula for the margin of error for a sample proportion (if certain conditions https://select-statistics.co.uk/calculators/sample-size-calculator-population-proportion/ are met) is where is the sample proportion, n is the sample size, and z* is the appropriate z*-value for your desired level of confidence (from the following table). z*-Values for Selected (Percentage) Confidence Levels Percentage Confidence z*-Value 80 1.28 90 1.645 95 1.96 98 2.33 99 2.58 Note that these values are taken from the standard normal (Z-) distribution. The area between each z* value and the negative of that z* http://www.dummies.com/education/math/statistics/how-to-calculate-the-margin-of-error-for-a-sample-proportion/ value is the confidence percentage (approximately). For example, the area between z*=1.28 and z=-1.28 is approximately 0.80. Hence this chart can be expanded to other confidence percentages as well. The chart shows only the confidence percentages most commonly used. Here are the steps for calculating the margin of error for a sample proportion: Find the sample size, n, and the sample proportion. The sample proportion is the number in the sample with the characteristic of interest, divided by n. Multiply the sample proportion by Divide the result by n. Take the square root of the calculated value. You now have the standard error, Multiply the result by the appropriate z*-value for the confidence level desired. Refer to the above table for the appropriate z*-value. If the confidence level is 95%, the z*-value is 1.96. Here's an example: Suppose that the Gallup Organization's latest poll sampled 1,000 people from the United States, and the results show that 520 people (52%) think the president is doing a good job, compared to 48% who don't think so. First, assume you want a 95% level of confidence, so z* = 1.96. The number of Americans in the sample who said they approve of the president was found to be 520. This means that the sample proportion,
Announcements Careers If you select a 95% confidence level then 95 out of 100 samples will http://www.pivotalresearch.ca/resources-sample-calc.php contain the true population value. Sample Size Calculator This calculator determines the sample size necessary to estimate a population proportion within a specified margin of error. Step 1. How many people are there in the population you are choosing your sample from? If unsure use 25,000. The margin of built-in finite population correction factor will decrease the sample required if the population is small. What is the population size? Step 2. The margin of error determines how close to the population proportion you would like the estimate to be (for example, +/- 5%). margin of error What margin of error can you tolerate? % Step 3: A confidence level of 95% establishes an interval that would be expected to contain the true value at least 95% of the time. Common choices are 90%, 95% or 99%. What level of confidence would you like? % >Step 4: If you have a previous estimate of the population proportion enter it here. Use a value between 0 and 100%. It is best to use 50% if unsure. What is the best estimate of the population proportion? % Sample Size you would need to achieve your goal 0 If your sample size is your margin of error would be 0 Home | About Us | Services | Resources | Contact Us Website developed by Whitespark © 2011 Pivotal Research Inc.