Final answer:
The correct null hypothesis is that 69% or less supported an increase in the minimum wage, and the correct alternative hypothesis is that more than 69% supported an increase, aligning with option A.
Step-by-step explanation:
The question involves setting up null and alternative hypotheses for a scenario regarding poll results on increasing the minimum wage. The null hypothesis typically represents the status quo or a position of no effect or no change, while the alternative hypothesis represents the expected or suspected change.
When setting up hypotheses:
- The null hypothesis (denoted as H0) is generally a statement of no effect or no difference. In the context of poll results on minimum wage, if it's claimed that 69% supported an increase, the null hypothesis would assert that the actual percentage that supports the increase is 69% or less.
- The alternative hypothesis (denoted as H1 or Ha) counters the null hypothesis and usually reflects the theory that there is an effect or a difference. In this case, it would assert that more than 69% supported an increase, which is an effect different from what's stated in the null hypothesis.
Therefore, the correct representation of the null and alternative hypotheses in this scenario would be:
- Null: 69% supported an increase in the minimum wage (or less).
- Alternative: More than 69% supported an increase in the minimum wage.
This aligns with option A: Null: 69% supported an increase; Alternative: More than 69% supported an increase.