Please note that the steps show rounded numbers, but that the final answers to the problems are calculated without rounding.–>## Solutions
| Problem | Part | Solution |
|---|---|---|
| 1 | - | \(H_0: \text{ The row variable and the column variable are independent}\) \(H_a: \text{ The row variable and the column variable are not independent}\) |
| 2 | - | True |
| 3 | A | \(H_0: \text{ Party affiliation and whether they were in favor or against Prop 8
are independent}\) \(H_a: \text{ Party affiliation and whether they were in favor or against Prop 8 are not independent}\) |
| 3 | B | That all expected cell counts are greater than 5 |
| 3 | C | The requirements are met because all expected counts are greater than or equal to five |
| 3 | D | \(\chi^2= 33.96\) |
| 3 | E | \(df = 1\) |
| 3 | F | \(\text{P-value} = 0\) |
| 3 | G | reject the null hypothesis |
| 3 | H | We have sufficient evidence to show that the party affiliation and the voters’ views on Proposition 8 are not independent. |