Point Estimate Margin Of Error Calculator
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been generated for you:Given a lower bound of 8.509, upper bound of 11.085, and sample size of 1344, calculate the point estimate and margin of error
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How To Find Margin Of Error On Ti 84
For Dummies Statistics For Dummies, 2nd Edition SPSS Statistics for Dummies, how to determine point estimate with upper and lower bounds 3rd Edition Statistics II for Dummies Load more EducationMathStatisticsHow to Calculate the Margin of Error for a Sample margin of error sample size Mean How to Calculate the Margin of Error for a Sample Mean Related Book Statistics For Dummies, 2nd Edition By Deborah J. Rumsey When a research question asks http://www.mathcelebrity.com/point_estimate.php?pl=Generate+Practice+Problem you to find a statistical sample mean (or average), you need to report a margin of error, or MOE, for the sample mean. The general formula for the margin of error for the sample mean (assuming a certain condition is met -- see below) is is the population standard deviation, n is the sample size, and z* is http://www.dummies.com/education/math/statistics/how-to-calculate-the-margin-of-error-for-a-sample-mean/ the appropriate z*-value for your desired level of confidence (which you can find in 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* value is the confidence percentage (approximately). For example, the area between z*=1.28 and z=-1.28 is approximately 0.80. 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 mean: Find the population standard deviation and the sample size, n. The population standard deviation, will be given in the problem. Divide the population standard deviation by the square root of the sample size. gives you the standard error. Multiply by the appropriate z*-value (refer to the above table). For example, the z*-value is 1.96 if you want to be a
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Leisure Agriculture Logistics Finance & Insurance Retail Charities Education Environment Healthcare Legal Market Research Public Sector Services Advice Analysis Data Collection Data Mining Design Innovation & Research Modelling Prediction Qualitative Analysis Reporting Review Surveys & Sampling Testing Training Visualisation Resources FAQs Glossary Calculators Downloads Videos Contact us Population Proportion - Sample Size Calculators Use this calculator to determine the appropriate sample size for estimating the proportion of your population that possesses a particular property (eg. they like your product, they own a car, or they can speak a second language) to within a specified margin of error. If you intend to ask more than one question, then use the largest sample size across all questions. Note that if the questions do not all have just two valid answers (eg. yes or no), but include one or more additional responses (eg. "don't know"), then you will need a different sample size calculator. Calculator What margin of error do you need? 5% is a common choice % The margin of error is the level of precision you require. This is the range in which the true proportion is estimated to be and should be expressed in percentage points (e.g., ±2%). A lower margin of error requires 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 w