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Calculate Margin Of Error Statistics

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the Margin of Error for a Sample Proportion How to Calculate the Margin of Error for a Sample Proportion Related Book Statistics For Dummies, 2nd Edition By Deborah J. Rumsey When you report the

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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 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 how to calculate margin of error on ti 83 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. 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

sample size and margin of error statisticsfun SubscribeSubscribedUnsubscribe49,98849K Loading... Loading... Working... Add to Want to watch this again later? Sign in to add this video to a playlist. https://www.youtube.com/watch?v=Mfia4nbh-zU Sign in Share More Report Need to report the video? Sign http://statistics.about.com/od/Inferential-Statistics/a/How-To-Calculate-The-Margin-Of-Error.htm in to report inappropriate content. Sign in Transcript Statistics 64,725 views 156 Like this video? Sign in to make your opinion count. Sign in 157 7 Don't like this video? Sign in to make your opinion count. Sign in 8 Loading... Loading... Transcript The interactive transcript margin of could not be loaded. Loading... Loading... Rating is available when the video has been rented. This feature is not available right now. Please try again later. Uploaded on Jul 12, 2011In this tutorial I show the relationship between sample size and margin of error. I calculate the margin of error and confidence interval using three different sample sizes. margin of error As the sample size increases the margin of error goes down.Like us on: http://www.facebook.com/PartyMoreStud...Related Videos on Sample Size:Sample Size http://youtu.be/Z2dKK1xicgsSample Size of a Proportion http://youtu.be/LGFqxJdk20o Category Education License Standard YouTube License Show more Show less Loading... Advertisement Autoplay When autoplay is enabled, a suggested video will automatically play next. Up next Margin of Error Example - Duration: 11:04. drenniemath 36,919 views 11:04 How to calculate Margin of Error Confidence Interval for a population proportion - Duration: 8:04. statisticsfun 42,703 views 8:04 Calculate A Sample Size of A proportion - Duration: 4:22. statisticsfun 5,398 views 4:22 Statistics 101: Confidence Intervals, Population Deviation Known - Duration: 44:07. Brandon Foltz 107,799 views 44:07 Statistics 101: Standard Error of the Mean - Duration: 32:03. Brandon Foltz 68,124 views 32:03 Estimating The Sample Size - Duration: 12:39. ProfessorSerna 37,746 views 12:39 Statistics 101: Confidence Intervals, Population Deviation Unknown - Part 1 - Duration: 27:15. Brandon Foltz 55,628 views 27:15 Estimating Sample Size Using Excel - Duration: 7:12. Todd Grande 6,834 views 7:12 Statistics 101: Estimating Samp

a Sample Size Do We Need for a… 3 What Is a Confidence Interval? 4 How to Calculate a Confidence Interval for a… 5 Calculating a Confidence Interval for a Mean About.com About Education Statistics . . . Statistics Help and Tutorials by Topic Inferential Statistics How to Calculate the Margin of Error What Is the Margin of Error for an Opinion Poll? Share Pin Tweet Submit Stumble Post Share By Courtney Taylor Statistics Expert By Courtney Taylor Many times political polls and other applications of statistics state their results with a margin of error. It is not uncommon to see that an opinion poll states that there is support for an issue or candidate at a certain percentage of respondents, plus and minus a certain percentage. It is this plus and minus term that is the margin of error. But how is the margin of error calculated? For a simple random sample of a sufficiently large population, the margin or error is really just a restatement of the size of the sample and the level of confidence being used.The Formula for the Margin of ErrorIn what follows we will utilize the formula for the margin of error. We will plan for the worst case possible, in which we have no idea what the true level of support is the issues in our poll. If we did have some idea about this number , possibly through previous polling data, we would end up with a smaller margin of error.The formula we will use is: E = zα/2/(2√ n) continue reading below our video 5 Common Dreams and What They Supposedly Mean The Level of ConfidenceThe first piece of information we need to calculate the margin of error is to determine what level of confidence we desire. This number can be any percentage less than 100%, but the most common levels of confidence are 90%, 95%, and 99%. Of these three the 95% level is used most frequently.If we subtract the level of confidence from one, then we will obtain the value of alpha, written as α, needed for the form

 

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