Question

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".

Answer 1

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

Step-by-step 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