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. How many degrees of freedom are there?
A)2
B)3
C)4

Question

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.  How many degrees of freedom are there?
A)2 
B)3 
C)4

Quizplus · Accepted Answer

To calculate degrees of freedom for this problem, we need to subtract the number of restrictions from the sample size. There are two variables involved in this study: opinion and distance from home to street. For the opinion variable, there are five possible responses ranging from strongly oppose to strongly support. This means there are 4 degrees of freedom for the opinion variable. For the distance variable, there are no restrictions or categories, so there is 1 degree of freedom. Thus, the total degrees of freedom is 4 + 1 = 5. Therefore, the best choice is C, with 4 degrees of freedom for the opinion variable and 1 degree of freedom for the distance variable.

A Survey of Property Owners' Opinions About a Street-Widening Project