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When a 90% confidence interval with the sample size n, remaining the same, is calculated instead of

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When a 90% confidence interval with the sample size n, remaining the same, is calculated instead of a 95% confidence interval, the margin of error will be: a) the same, b) smaller, c) larger.  Support your choice with a brief explanation.

Apr 4th, 2015

As the confidence level increases, the margin of error increases.

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

Hence, at 95% confidence their is more margin of error than at 90% confidence.


Apr 4th, 2015

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Apr 4th, 2015
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