Question

G a survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. a randomly selected sample of 100 property owners was contacted and the results are shown next. opinion front footage for undecided against under 45 feet 12 4 4 45–120 feet 35 5 30 over 120 feet 3 2 5 what is the expected frequency for people against the project and who have over 120 feet of property foot frontage?

Answer 1

The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

Explanation:

The data provided is:

Opinion

Front Footage For Undecided Against Total

Under 45 feet 12 4 4 20

45-120 feet 35 5 30 70

Over 120 feet 3 2 5 10

Total 50 11 39 100

The formula to compute the expected frequency is:

`E(X)=\frac{\text{Row Total}* \text{Column Total}}{\text{TOTAL}}`

Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:

`E(X)=\frac{\text{Row Total}* \text{Column Total}}{\text{TOTAL}}`

`E(5)=(10* 39)/(100)=(39)/(10)=3.9`

Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.