Calculating Margin Of Error For Confidence Intervals
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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 results of a statistical survey, you need to
Margin Of Error Confidence Interval Calculator
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 1.645 95 1.96 98 2.33 99 2.58 Note that these values are margin of error calculator 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 so. First, assume you want a 95% level of confidence, so z* = 1.96. The number of Americans in the sample who said they
Curve) Z-table (Right of Curve) Probability and Statistics Statistics Basics Probability Regression Analysis Critical Values, Z-Tables & Hypothesis Testing Normal how to find margin of error on ti 84 Distributions: Definition, Word Problems T-Distribution Non Normal Distribution Chi Square Design margin of error excel of Experiments Multivariate Analysis Sampling in Statistics Famous Mathematicians and Statisticians Calculators Variance and Standard Deviation Calculator margin of error formula proportion Tdist Calculator Permutation Calculator / Combination Calculator Interquartile Range Calculator Linear Regression Calculator Expected Value Calculator Binomial Distribution Calculator Statistics Blog Calculus Matrices Practically Cheating Statistics Handbook http://www.dummies.com/education/math/statistics/how-to-calculate-the-margin-of-error-for-a-sample-proportion/ Navigation How to Calculate Margin of Error in Easy Steps Probability and Statistics > Critical Values, Z-Tables & Hypothesis Testing > How to Calculate Margin of Error Contents (click to skip to that section): What is a Margin of Error? How to Calculate Margin of Error (video) What is a Margin of Error? The margin of http://www.statisticshowto.com/how-to-calculate-margin-of-error/ error is the range of values below and above the sample statistic in a confidence interval. The confidence interval is a way to show what the uncertainty is with a certain statistic (i.e. from a poll or survey). For example, a poll might state that there is a 98% confidence interval of 4.88 and 5.26. That means if the poll is repeated using the same techniques, 98% of the time the true population parameter (parameter vs. statistic) will fall within the interval estimates (i.e. 4.88 and 5.26) 98% of the time. What is a Margin of Error Percentage? A margin of error tells you how many percentage points your results will differ from the real population value. For example, a 95% confidence interval with a 4 percent margin of error means that your statistic will be within 4 percentage points of the real population value 95% of the time. The Margin of Error can be calculated in two ways: Margin of error = Cri
Confidence Intervals and Margin of Error statisticsfun SubscribeSubscribedUnsubscribe49,99349K Loading... Loading... Working... Add to Want to watch this again later? Sign in to add this video to a playlist. Sign in Share https://www.youtube.com/watch?v=dNfpsVLaaEE More Report Need to report the video? Sign in to report inappropriate content. Sign in Transcript Statistics 154,308 views 783 Like this video? Sign in to make your opinion count. Sign in 784 16 Don't like this video? Sign in to make your opinion count. Sign in 17 Loading... Loading... Transcript The interactive transcript could not be loaded. Loading... Loading... margin of Rating is available when the video has been rented. This feature is not available right now. Please try again later. Uploaded on Jul 12, 2011Tutorial on how to calculate the confidence interval and margin of error (interval estimate). Include an example and some discussion on the bell curve and z scores.Like MyBookSucks on: http://www.facebook.com/PartyMoreStud...Related Videos:Z scores and Normal Tableshttp://www.youtube.com/watch?v=q5fwCl... How to margin of error Normalized Tables Used for Z scoreshttp://www.youtube.com/watch?v=dWu0KL...Playlist t tests for independent and dependent means.http://www.youtube.com/playlist?list=...Created by David Longstreet, Professor of the Universe, MyBookSuckshttp://www.linkedin.com/in/davidlongs... 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 How to calculate Margin of Error Confidence Interval for a population proportion - Duration: 8:04. statisticsfun 42,703 views 8:04 How to calculate sample size and margin of error - Duration: 6:46. statisticsfun 64,488 views 6:46 How to use Excel to Calculate Confidence Interval - Duration: 4:59. statisticsfun 307,486 views 4:59 How to calculate z scores - Duration: 9:34. statisticsfun 48,449 views 9:34 Margin of Error Example - Duration: 11:04. drenniemath 36,919 views 11:04 Statistics Lecture 7.2: Finding Confidence Intervals for the Population Proportion - Duration: 2:24:10. Professor Leonard 42,089 views 2:24:10 How to calculate t distributions - Duration: 5:47. statisticsfun 126,125 views 5:47 How to calculate Standard Deviation and Variance - Duration: 5:05. statisticsfun 578,461 views 5:05 Margin of Error - Duration: 6:17. headlessprofessor 45,456 views 6:17 Confidence Intervals Part I - Duration: 27:1