Q:

# Consider the following data set:5, 33, 25, 55, 96, 75, 23, 69, 37, 17, 12.A random sample of size 4 is drawn from the data set. It yields the following numbers: 5, 33, 17, and 23.What is the population proportion greater than the number 20?A. 33B. 40.6C. 29.2D. 50E. 72.7

Accepted Solution

A:
Answer:E. 72.7Step-by-step explanation:Here, we need to figure out the proportion of the population, which is higher than 20.  Now, in this statement, the data set of the population is explicitly given, so the sample is irrelevant.Here, the set of data is :  5, 33, 25, 55, 96, 75, 23, 69, 37, 17, 12.Among this given data set of 11, The numbers which are higher than 20 are {33, 25, 55, 96, 75, 23, 69, 37}.So, here 8 numbers are present in this data set which are greater than 20.So for finding out the proportion, the calculation will be:Calculation: $$\frac{8}{11}$$ * 100 = 72.72%Therefore we get from the calculation that the population proportion, which is higher than the number 20, is 72.72% or 72.7%.