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EU (European Union) countries report that 46% of their labour force is female. The United Nations wants to determine if the percentage of females in the Canadian labour force is the same. Representatives from Statistics Canada plan to check a random sample of over 10,000 employment records on file to estimate the percentage of females in the Canadian labour force.
-If Statistics Canada wishes to tighten its interval, they should
A) increase the confidence level.
B) increase the sample size.
C) decrease the sample size.
D) increase the margin of error.
E) double the margin of error .

Question

Quizplus · Accepted Answer

To tighten the interval, Statistics Canada should increase the sample size. A larger sample size reduces the standard error and therefore decreases the margin of error, resulting in a narrower interval. Increasing the confidence level would widen the interval, decreasing the precision. Decreasing the sample size or increasing the margin of error would also widen the interval, reducing precision. Doubling the margin of error would also widen the interval and reduce precision. Therefore, the best choice is to increase the sample size.

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