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(2) Choose the one alternative that best completes the statement or answers the question. Assume two independent random sampl

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Answer #1

Z- value = (P1 - P2 ) / ^{\sqrt{}} P(1-P) (1/n1 + 1/n2)

Here P1 = 39/100 = 0.39

P2 = 49/100 = 0.49

P = (39+49) / 200 = 88/200 = 0.44

Z-value = (0.39 - 0.49) / \sqrt{} 0.44(1-0.44) (0.01 + 0.01)

= -0.1 / \sqrt{} 0.00492

= -0.1/ 0.0702

= -1.425

The corresponding P-value from the chart is 0.077 for Z-value -1.425

The chart is attached below

-0.2 -0.3 0.4 -0.5 -0.6 0.7 -0.8 -0.9 -1.1 -1.2 -1.3 -1.4 -1.5 -1.6 .1.7 -1.8 -1.9 -2 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8

here \alpha = 100%-90% = 10% = 0.1

our p-value is 0.077

Our P-value is less than \alpha , therefore it is statistically significant

So Answer is Option A

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