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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?

Respuesta :

Answer:

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

Step-by-step 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:

[tex]E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}[/tex]

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

[tex]E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}[/tex]

[tex]E(5)=\frac{10\times 39}{100}=\frac{39}{10}=3.9[/tex]

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

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