Which of the following is the correct standardized test statistic and P-value for the hypotheses, ?
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, ?
![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,: p,-Pw=0 and H, P,-Pw =0?
Find the z-table here.
0.95 – 0.56
(0.26)(0.74)
O =
P- value = 0.000017
95
0.95 - 0.56
O z=
,P- value = 0.000017
(0.74)(0.26) , (0.74)(0.26)
+
95
45
0.95 - 0.56
O z =
,P – value = 0.000034
(0.95)(0.0.05) (0.56)(0.44)
40
45
0.95 - 0.56
O z =
,P- value = 0.000034
(0.74)(0.26) , (0.74)(0.26)
40
45](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde11bd0a-729d-4380-9cdc-c43148d843f2%2F1a7ebb80-a189-4ce7-86da-ff0c4f72a97f%2Fg23yad7_processed.png&w=3840&q=75)
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