Author Question: A claim was made that at a local college only 5 of the students that take the introductory ... (Read 55 times)

geoffrey · **on:** Jul 24, 2018

A claim was made that at a local college only 5 of the students that take the introductory statistics course will continue their education in statistics. The Statistics Department at the college believes that this value is too low and decides to conduct a sample survey of 100 students that completed the introductory course the previous term. Identify the population.

Question 2

Two researchers are each conducting a study to estimate a certain population proportion. Researcher A proposes to take a random sample of n = 1000 units from his population of 1 million units. Researcher B proposes to take a random sample of n = 2000 units from his population of 2 million units. For which researcher will the margin of error be the smallest? Explain.

nhea · **Reply #1 on:** Jul 24, 2018

Answer to Question 1

The population is the larger group of units about which inferences are to be made, in this case, the population would be all students who attended the local college who completed the introductory statistics course. (A particular time frame may also be included in the definition of the population.)

Answer to Question 2

The margin of error is based on sample size (provided the population size is at least 10 times larger than the sample size). So the margin of error for Researcher B will be the smallest.