Margin of Error: We’re Only Human…

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Presentation transcript:

Margin of Error: We’re Only Human…

Margin of Error gives a limit on how much the response of a sample would differ from the responses of a population. * n is the sample size if the percent of the sample responding is p, then the percent of the population that would respond the same way is between: and

Examples WHAT DO YOU NOTICE HAPPENS TO THE MARGIN OF ERROR 1. Find the margin of error for a survey with a sample size of 664 people. 2. Find the margin of error for a survey with a sample size of 773 people. 3. Find the margin of error for a survey with a sample size of 3444 people. WHAT DO YOU NOTICE HAPPENS TO THE MARGIN OF ERROR AS THE SAMPLE SIZE GETS BIGGER?

Examples 1. Find the results for a survey with a sample size of 664 people and a 54% “yes” rate. 2. Find the margin of error for a survey with a sample size of 773 people and a 27% “yes” rate. 3. Find the margin of error for a survey with a sample size of 3444 people and a 45.7 % “yes” rate.

Examples WHAT DO YOU NOTICE HAPPENS TO THE SAMPLE SIZE 4. Given the margin of error, find the sample size. 5. Given the margin of error, find the sample size. 6. Given the margin of error, find the sample size. WHAT DO YOU NOTICE HAPPENS TO THE SAMPLE SIZE AS THE MARGIN OF ERROR GETS BIGGER?

Examples 4. Given that a survey had a “yes” range of 66.7 – 77.3%, how many people were surveyed?