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In Testing the Hypotheses H0: P1 - P2 = 0

Question 33

Essay

In testing the hypotheses H0: p1 - p2 = 0 vs. Ha: p1 - p2 > 0, use the following statistics, where x1 and x2 represent the number of defective components found in medical instruments in the two samples.
n1 = 200, x1 = 80
n2 = 400, x2 = 140
What conclusion can we draw at the 5% significance level?
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
What is the p-value of the test?
p-value = ______________
Explain how to use the p-value to test the hypotheses.
____________________________
Estimate with 95% confidence the difference between the two population proportions.
______________

Correct Answer:

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1.198; 1.645; Do not reject H0;...

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