Recall the form of a theory-based confidence interval for a population proportio
ID: 3299512 • Letter: R
Question
Recall the form of a theory-based confidence interval for a population proportion is p^± multiplier ×p^(1-p^)n.
1) Increasing the confidence level has what effect, if any, on the midpoint of this interval?
It increases the midpoint
It has no effect on the midpoint
It decreases the midpoint
2) Increasing the confidence level has what effect, if any, on the margin of error of this interval?
It decreases the margin of error
It has no effect on the margin of error
It increases the margin of error
3)Increasing the sample size, if all else remains the same, has what effect, if any, on the margin of error of this interval?
It decreases the margin of error
It increases the margin of error
It has no effect on the margin of error
Explanation / Answer
1) Increasing confidence interval - It has no effect on the midpoint
2) Increasing the confidence interval - It increases the margin of error
(With increase in confidence interval, (he multiplier, z* increases and hence margin of error also increases)
3) Increasing sample size reduces the sampling error - It decreases the margin of error
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