Suppose that in a certain community, 40% of the residents would answer "yes" to the question, "do you know the names of at least five other people who live on your block?" suppose you plan to take a random sample of 100 people from this community and calculate the proportion of people in your sample whose response to this question is "yes".

The proportion of people in your sample whose response is yes=40 people

Explanation:

Step 1: Determine the statistical proportion that will say yes

Proportion=40%=40/100=0.4

Step 2: Determine the proportion in the sample that will say yes

The proportion in the sample can be expressed as;

P=S*Z

where;

P=proportion in the sample

S=statistical proportion

Z=sample size

In our case;

P=unknown to be determined

S=40%=40/100=0.4

Z=100

replacing;

Proportion in the sample=0.4*100=40

The proportion of people in your sample whose response is yes=40 people