MATH SOLVE

2 months ago

Q:
# PLZ HELP ME :(A certain store has 3,000 employees working at its main location in a city and 100 employees working at a smaller location outside the city. The store manager will select a sample of 50 employees from all the employees to ask their opinions about extending store hours during the holidays. What is the advantage of selecting a stratified random sample, with location as strata, instead of a simple random sample?The stratified sample assures the most random selection from among all selection methods.AThe stratified sample assures that the opinions of employees from both locations will be represented.BThe stratified sample will be less expensive to implement than a simple random sample and will save money over time.CThe stratified sample assures employees that store hours will not be extended until their opinions are recorded.DThere is no real advantage to stratifying because a simple random sample is always the best.

Accepted Solution

A:

Answer: A. The stratified sample assures that the opinions of employees from both locations will be represented.Explanation:This option is correct, because it ensures that the results of the survey represent employees' opinions from both rural and urban locations. Gathering employees' opinions from both locations will furthermore ensure that any policy dependent on the results of this survey not only represent urban employees' interests (as they are the majority), but also the rural employees' interests. Option B is incorrect as a stratified sample will be more expensive to implement than a simple random sample and will not necessarily help to save money over time. Option C does not apply as it is simply an assumption that has no evidence to support it.Option D is incorrect as a stratified sample in this case is better than a random sample in generating results that are more representative of the store's employees from both locations.