Question 1
An adverse drug effect (ADE) is an unintended injury caused by prescribed medication. The table summarizes the proximal cause of 95 ADEs that resulted from a dosing error at a Boston hospital.
In order to determine whether the true percentages of ADEs in the five "cause" categories differ, a chi-square analysis was conducted. Use the chi-square distribution to determine the rejection region when testing at α = 0.025.
◦ Reject H
0 if χ
2 > 14.4494
◦ Reject H
0 if χ
2 > 12.8325
◦ Reject H
0 if χ
2 > 11.1433
◦ Reject H
0 if χ
2 > 9.48773
Question 2
A multinomial experiment with
k = 4 cells and
n = 400 produced the data shown in the following table.
Cell
Previous studies in this area have shown that
p1 =
p2 =
p3 =
p4 = .25. Construct a 95% confidence interval for the multinomial probability associated with cell 2.
◦ (0.474, 0.556)
◦ (0.473, 0.557)
◦ (0.086, 0.149)
◦ (0.466, 0.564)
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