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 35 respond yes.

Let [tex]p_s[/tex] be the true proportion of households with school-aged children that would support starting the school year a week early, and [tex]p_w[/tex] be the true proportion of households without school-aged children that would support starting the school year a week earlier.

Which of the following is a correct statement about the conditions for this test?

A. The random condition is not met.
B. The 10% condition is not met.
C. The Large Counts Condition is not met.
D. All conditions for inference are met.