Consider the following to answer the question(s) below:
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.
-Suppose that Statistics Canada wants to be 90% confident of estimating the percentage of females in the labour force to within ±2% of the true percentage. To do this they would have to
A) decrease the sample size
B) select the same number of employment records
C) increase the sample size
D) decrease the precision
E) increase the sampling error

Question

Quizplus · Accepted Answer

To increase the level of confidence and decrease the margin of error, Statistics Canada would have to increase the sample size. A larger sample size will lead to a more accurate estimate of the true percentage of females in the Canadian labor force. Decreasing the sample size, decreasing the precision, or increasing the sampling error would all result in less reliable estimates. Selecting the same number of employment records would not achieve the desired level of confidence and precision.

Consider the Following to Answer the Question(s) Below