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Margin of Error for a Sample… Statistics Essentials For Dummies Statistics For Dummies, 2nd Edition SPSS Statistics for given confidence interval find margin of error Dummies, 3rd Edition Statistics II for Dummies Load more EducationMathStatisticsHow to Calculate the Margin of Error for a Sample Proportion How to Calculate the Margin of Error for a Sample Proportion margin of error formula Related Book Statistics For Dummies, 2nd Edition By 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 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* 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 conf

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called the margin of error. For example, suppose we wanted to know the percentage of adults that exercise daily. We could devise a sample design to ensure that our sample estimate will not differ from the true population http://www.dummies.com/education/math/statistics/how-to-calculate-the-margin-of-error-for-a-sample-proportion/ value by more than, say, 5 percent (the margin of error) 90 percent of the time (the confidence level). How to Compute the Margin of Error The margin of error can be defined by either of the following equations. Margin of error = Critical value x Standard deviation of the statistic Margin of error = Critical value x Standard error of the statistic If you know the standard deviation of the statistic, use the first equation to http://stattrek.com/estimation/margin-of-error.aspx compute the margin of error. Otherwise, use the second equation. Previously, we described how to compute the standard deviation and standard error. How to Find the Critical Value The critical value is a factor used to compute the margin of error. This section describes how to find the critical value, when the sampling distribution of the statistic is normal or nearly normal. The central limit theorem states that the sampling distribution of a statistic will be nearly normal, if the sample size is large enough. As a rough guide, many statisticians say that a sample size of 30 is large enough when the population distribution is bell-shaped. But if the original population is badly skewed, has multiple peaks, and/or has outliers, researchers like the sample size to be even larger. When the sampling distribution is nearly normal, the critical value can be expressed as a t score or as a z score. When the sample size is smaller, the critical value should only be expressed as a t statistic. To find the critical value, follow these steps. Compute alpha (α): α = 1 - (confidence level / 100) Find the critical probability (p*): p* = 1 - α/2 To express the critical value as a z score, find the z score having a cumulative probability equal to the critical probability (p*). To express the critical value as a

Help Suggestions Send Feedback Answers Home All Categories Arts & Humanities Beauty & Style Business & Finance Cars & Transportation Computers & Internet Consumer Electronics Dining Out Education & Reference Entertainment & Music Environment Family & Relationships Food & Drink Games https://answers.yahoo.com/question/index?qid=20101030083228AAXP3Ru & Recreation Health Home & Garden Local Businesses News & Events Pets Politics & Government Pregnancy & Parenting Science & Mathematics Social Science Society & Culture Sports Travel http://support.minitab.com/en-us/minitab-express/1/help-and-how-to/basic-statistics/inference/supporting-topics/basics/what-is-a-confidence-interval/ Yahoo Products International Argentina Australia Brazil Canada France Germany India Indonesia Italy Malaysia Mexico New Zealand Philippines Quebec Singapore Taiwan Hong Kong Spain Thailand UK & Ireland margin of Vietnam Espanol About About Answers Community Guidelines Leaderboard Knowledge Partners Points & Levels Blog Safety Tips Science & Mathematics Mathematics Next Given confidence interval find margin of error? (3.144,3.176) I know how to get mean but how do u get margin of error? Here's another (1.71,2.05) 1 following 3 answers 3 Report Abuse Are you margin of error sure you want to delete this answer? Yes No Sorry, something has gone wrong. Trending Now Bobby Houston Regina Spektor Hoboken train crash Shailene Woodley Rutgers football Dating Sites Minnesota Vikings Toyota Tundra Luxury SUV Deals Texas Rangers Answers Relevance Rating Newest Oldest Best Answer: mean = (3.176 + 3.114)/2 = 3.145 margin of error = 3.176 - 3.145 = 0.031 or margin of error = (3.176 - 3.114)/2 = 0.031 (1.71,2.05) (2.05 - 1.71)/2 = 0.18 Source(s): ben e · 6 years ago 6 Thumbs up 1 Thumbs down 5 comments Loading ... Add a comment Submit · just now Report Abuse This Site Might Help You. RE: Given confidence interval find margin of error? (3.144,3.176) I know how to get mean but how do u get margin of error? Here's another (1.71,2.05) Source(s): confidence interval find margin error: https://biturl.im/IwZ18 ? · 1 year ago 0 Thumbs up 0 Thumbs down Comment Add a comment Submit · just now Report Abuse For t

of their random nature, it is unlikely that two samples from a particular population will yield identical confidence intervals. But if you repeated your sample many times, a certain percentage of the resulting confidence intervals would contain the unknown population parameter. Here, the horizontal black line represents the fixed value of the unknown population mean, µ. The vertical blue confidence intervals that overlap the horizontal line contain the value of the population mean. The red confidence interval that is completely below the horizontal line does not. A 95% confidence interval indicates that 19 out of 20 samples (95%) from the same population will produce confidence intervals that contain the population parameter. Use the confidence interval to assess the estimate of the population parameter. For example, a manufacturer wants to know if the mean length of the pencils they produce is different than the target length. The manufacturer takes a random sample of pencils and determines that the mean length of the sample is 52 millimeters and the 95% confidence interval is (50,54). Therefore, they can be 95% confident that the mean length of all pencils is between 50 and 54 millimeters. The confidence interval is determined by calculating a point estimate and then determining its margin of error. Point Estimate This single value estimates a population parameter by using your sample data. Margin of Error When you use statistics to estimate a value, it's important to remember that no matter how well your study is designed, your estimate is subject to random sampling error. The margin of error quantifies this error and indicates the precision of your estimate. You probably already understand margin of error as it is related to survey results. For example, a political poll might report that a candidate's approval rating is 55% with a margin of error of 5%. This means

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Confidence Margin Of Error Calculatorlarger amount of error than if the respondents are split - or - Lower margin of error requires a larger sample size What confidence level do you need Margin Of Error Sample Size Typical choices are or The confidence level is the amount of margin of error calculator without population size uncertainty you can tolerate Suppose that you have yes-no questions in your survey With a confidence level of you would expect margin of error calculator with standard deviation that for one of the questions in the percentage of people who answer yes would be more

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Conservative Margin Of Error Formulaproportion p by calculating a confidence interval for a proportion Remember that all of the basic characteristics and uses of confidence intervals that you learned this how is margin of error calculated in polls past week can be applied to a specific confidence interval for a proportion conservative margin of error equation Chapter As you see in Chapter the formula for a confidence interval for a proportion can be written Margin Of Error Formula Excel in many ways The most general form of the confidence interval is sample proportion plusmn margin of error Then the margin

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