A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 16.5% and 25.5% of the residents supports the plan. What is the margin of error on the survey? Do not write \pm± on the margin of error.

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Answer:

9

Step-by-step explanation:

The confidence interval is related to margin of error ; according to the relation :

Confidence interval = mean ± margin of error

Margin of Error = (upper boundary value - lower boundary value)

Confidence interval = 16.5% and 25.5%

Margin of Error = (25.5% - 16.5%)

Margin of Error = ±9

The margin of error on the survey is 9.

We know that

Confidence interval = mean ± margin of error

And,

Margin of Error = (upper boundary value - lower boundary value)

We have Confidence interval between 16.5% and 25.5%.

upper boundary value = 25.5%

lower boundary value = 16.5%

So, Margin of Error

= 25.5% - 16.5%

=9

Therefore, Margin of Error is 9.

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