A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. Which hypotheses would determine if the proportion of households that support starting school earlier has changed this year?
Group of answer choices

H 0: p not-equals 0.70, H alpha: p = 0.70

H 0: p = 0.70, H alpha: p not-equals 0.70

H 0: p = 0.65, H alpha: p greater-than 0.65

H 0: p = 0.65, H alpha: p not-equals 0.65

Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:

[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]

What are the hypotheses tested?

At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:

[tex]H_0: p = 0.65[/tex]

At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:

[tex]H_\alpha: p \neq 0.65[/tex]

More can be learned about an hypotheses test at https://brainly.com/question/26454209