Construct a lower bound (LB) 99% confidence interval for difference of true graduation proportions (p, – Py). Do the data show enough evidence to suggest that University A has the same graduation proportion as University B at a = 0.05? Z0.025 = 1.96 Zo.0s = 1.65 Z0.01 = 2.33 Z0.00s = 2.58 University A Px = 0.75 University B Py = 0.72 m = 81 n = 64

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A study regarding the proportion of students who finish their MS degree (graduate) is conducted in two universities (A and B). The results are shown in the following table.

a. Construct a lower bound (LB) 99% confidence interval for difference of true graduation
proportions (p – Py).
b. Do the data show enough evidence to suggest that University A has the same graduation
proportion as University B at a = 0.05?
Zo.025 = 1.96
Zo.05 = 1.65
Z0.01 = 2.33
Z0.005 = 2.58
University A
Pr = 0.75
University B
Py = 0.72
m = 81
n = 64
Transcribed Image Text:a. Construct a lower bound (LB) 99% confidence interval for difference of true graduation proportions (p – Py). b. Do the data show enough evidence to suggest that University A has the same graduation proportion as University B at a = 0.05? Zo.025 = 1.96 Zo.05 = 1.65 Z0.01 = 2.33 Z0.005 = 2.58 University A Pr = 0.75 University B Py = 0.72 m = 81 n = 64
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