Complete the statement by filling in the blanks: When constructing a confidence interval, if the level of confidence increases, the margin of error must and the confidence interval will be . Select one: a. Increase; narrower b. Decrease; wider c. Decrease; narrower d. Increase; wider

d. Increase; wider

Explanation:

When constructing a confidence interval, if the level of confidence increases, the margin of error must Increase and the confidence interval will be Wider.

The margin of error is an expression to show the amount of sampling error in the collected data or estimates of the parameter. This means, higher the margin of error, lower will be the credibility of the survey. It shows the accuracy level of the estimate.

Margin of error depend on three factors:

Level of confidence: As the level of confidence increases, the margin of error also increases.

Sample size: As the size of the random sample increases, the margin of error decreases.

Standard deviation of the population: The standard deviation of the population: The more spread there is in the population, the wider our interval will be for a given level of confidence..

Margin of error=

Confidence inverval=

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

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