Suppose that you wanted to select a stratified random sample of graduate students by
Gender for an in-depth personal interview of 50 students about the curriculum for a Master's degree in Marketing.If the Marketing M.A.program had 200 students enrolled in it,and 60 percent were females and 40 percent were males,how many males would you select from the sampling frame?
A)30
B)120
C)15
D)20
E)80

Question

Quizplus · Accepted Answer

Since stratified random sampling is being conducted by gender, we need to ensure that our sample proportionately represents the population. 
Out of the 200 students, 60% are females and 40% are males. 
If we need a sample of 50 students, we can calculate the number of males to be selected as follows:

Number of females in population = 0.60 x 200 = 120 
Number of males in population = 0.40 x 200 = 80

Now we can calculate the proportion of males needed in the sample:

Proportion of males in sample = (number of males in population/total population) x sample size 
Proportion of males in sample= (80/200) x 50 = 20

Therefore, we need to select 20 males for our stratified random sample. Answer: D) 20

Suppose That You Wanted to Select a Stratified Random Sample