There are four major political parties in the country Treon. A public research group is interested in finding out whether there is any relationship between the party that is supported by a citizen of Treon and that citizen's socio-economic status. For the purposes of a study, socio-economic status is broken up into four different categories: poverty, working class, middle class, and upper class.
A survey is conducted where many people are asked which major party they vote for and their socio-economic status. The data from this survey is used in the ÷2 hypothesis test with 95% confidence and the following hypotheses:
H0: There is no relationship between party affiliation and socio-economic status.
H1: There is a relationship between party affiliation and socio-economic status.
The test statistic for this test is calculated to be 18.184.
a)Calculate the number of degrees of freedom (df) in the ÷2 distribution that is followed by this test statistic. Give your answer as a whole number.
df =
typo its a chi test x^2 test where it it says divided 2 distribution
To calculate the number of degrees of freedom (df) in the chi-square distribution for this test, we need to consider the number of categories for both party affiliation and socio-economic status.
In this case, there are four major political parties, and socio-economic status is broken down into four categories. Therefore, the degrees of freedom will be calculated as (Number of categories for party affiliation - 1) multiplied by (Number of categories for socio-economic status - 1).
Number of categories for party affiliation = 4
Number of categories for socio-economic status = 4
df = (4 - 1) * (4 - 1) = 3 * 3 = 9
So, the number of degrees of freedom (df) in this chi-square distribution is 9.