TIME REMAINING
09:32:14
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 is the correct standardized test statistic and P-value for the hypotheses, H 0: P S minus P W = 0 and H alpha: P S minus P W not-equals 0?

Find the z-table here.

z = StartStartFraction 0.95 minus 0.56 OverOver StartRoot StartFraction (0.26) (0.74) Over 95 EndFraction EndRoot EndEndFraction, P-value = 0.000017
z = StartStartFraction 0.95 minus 0.56 OverOver StartRoot StartFraction (0.74) (0.26) Over 95 EndFraction + StartFraction (0.74) (0.26) Over 45 EndFraction EndRoot EndEndFraction, P-value = 0.000017
z = StartStartFraction 0.95 minus 0.56 OverOver StartRoot StartFraction (0.95) (0.05) Over 40 EndFraction + StartFraction (0.56) (0.44) Over 45 EndFraction EndRoot EndEndFraction, P-value = 0.000034
z = StartStartFraction 0.95 minus 0.56 OverOver StartRoot StartFraction (0.74) (0.26) Over 40 EndFraction + StartFraction (0.74) (0.26) Over 45 EndFraction EndRoot EndEndFraction, P-value = 0.000034