SOLUTION: The school district surveyed 500 families to see if they were satisfied or not satisfied with the new district website. There were 480 families who responded that they were satisfi

Question 1206785: The school district surveyed 500 families to see if they were satisfied or not satisfied with the new district website. There were 480 families who responded that they were satisfied. The margin of error was 0.027. If the school district has 140,000 families, what is the maximum number of families who are satisfied with the new district website?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the sample size is 500.
the mean of the sample is 480.

the ratio of the the number of people who are satisfied with the new website, based on the results of the sample, is equal to 480 / 500.

the ratio of the margin of error, based on the results of the sample, is plus or minus .027.

extrapolating from this sample, you would expect the average number of the people who are satisfied with the website to be 480 / 500 * 140,000 = 134,400.

the margin of error would be expected to be .027 * 140,000 = plus or minus 3,780.

that would make the maximum number of people satisfied with the new website to be expected to be equal to 134,400 + 3,780 = 138,180.

these numbers are approximate, since the sample may not be 100% representative of the population, but they do give a rough measure of what the actual numbers are expected to be.

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