Question

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? h 0: p

Answer 1

The null hypothesis (H0) for this study would be that the proportion of households that support starting the school year earlier is the same as last year (p = 0.65), while the alternative hypothesis (H1) would be that this proportion has changed (p ≠ 0.65).

Step-by-step explanation:

To determine if the proportion of households that support starting the school year a week earlier has changed from the previous year, we would formulate the null and alternative hypotheses for a hypothesis test. The null hypothesis (H0) represents the scenario where there is no difference from the previous year, and the alternative hypothesis (H1) represents the scenario where there is a difference from the last year's proportion.

Hypotheses

Null Hypothesis (H0): p = 0.65

The null hypothesis states that the proportion of households that support starting the school year earlier this year is the same as last year (65%).

Alternative Hypothesis (H1): p ≠ 0.65

The alternative hypothesis states that the proportion of households that support starting the school year earlier has changed from last year's proportion.