A local school board believes there is a difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support starting the school year a week early and pW = the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? H 0: P S minus P W = 0; H alpha: P S minus P W greater-than 0 H 0: P S minus P W = 0; H alpha: P S minus P W less-than 0