You collect a random sample of size n from a population and calculate a 95% confidence interval. Which of the following strategies produces a new confidence interval with an increased margin of error?

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Mathematics

Camden

17 June, 22:30

You collect a random sample of size n from a population and calculate a 95% confidence interval. Which of the following strategies produces a new confidence interval with an increased margin of error?

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Mathis · Answer 1

A. Use a 98% confidence level.

B. Use a 90% confidence level.

C. Increase the sample size.

D. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger.

E. Nothing can guarantee that you will obtain a larger margin of error. You can only say that the chance of obtaining a larger interval is 0.05.

Use a 90% confidence level.

Answer: Option B.

Explanation:

In statistics, a confidence interval is a sort of gauge figured from the measurements of the watched information. This proposes a scope of conceivable qualities for an obscure parameter. The interim has a related certainty level that the genuine parameter is in the proposed extend.

Confidence interval furnish us with an upper and lower limit around our example mean, and inside this interim we would then be able to be sure we have caught the populace mean. As far as possible and furthest cutoff around our example mean reveals to us the scope of qualities our actual populace mean is probably going to exist in.