In: Statistics and Probability
1. Do male and female college students have the same
distribution of living arrangements? Use a level of significance of
0.05. Suppose that 113 randomly selected male college students and
84 randomly selected female college students were asked about their
living arrangements: dormitory, apartment, or other. The results
are shown in Table. Do male and female college students have the
same distribution of living arrangements?
| Dormitory | Apartment | Other | |
|---|---|---|---|
| Male | 57 | 38 | 18 | 
| Female | 45 | 24 | 15 | 
What is the chi-square test-statistic for this data?
χ2=χ2=
Report all answers accurate to three decimal places.
2. Do male and female college students have the same
distribution of living arrangements? Use a level of significance of
0.05. Suppose that 113 randomly selected male college students and
84 randomly selected female college students were asked about their
living arrangements: dormitory, apartment, or other. The results
are shown in Table. Do male and female college students have the
same distribution of living arrangements?
| Dormitory | Apartment | Other | |
|---|---|---|---|
| Male | 57 | 38 | 18 | 
| Female | 45 | 24 | 15 | 
What is the chi-square test-statistic for this data?
χ2=χ2=
Report all answers accurate to three decimal places.
3.You are conducting a test of homogeneity for the claim that
two different populations have the same proportions of the
following two characteristics. Here is the sample data.
| Category | Population #1  | 
Population #2  | 
|---|---|---|
| A | 41 | 134 | 
| B | 9 | 35 | 
What is the chi-square test-statistic for this data?
χ2=χ2=
Report all answers accurate to three decimal places.