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# Inferences from Two Samples

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##### Solution Summary

A) State the null and alternate hypothesis.
B) Determine the rejection region. For example "if , then reject ".
C) Determine the Test Statistic.
D) Conclude either "Reject " or "Do not reject " based on your analysis and answer the question.
E) Determine the p value of the test.

Problem:

A major news network wanted to determine if there were significant regional differences in the President's approval rating (East Coast versus West Coast). Surveying was done in states along both coasts with the following results.

Region Total numbered surveyed Number approving the President
East Coast 500 380
West Coast 600 430

Does the survey indicate a significant regional difference in the Presidents approval rating at the 5% significance level?_________

##### Solution Preview

A) State the null and alternate hypothesis.
Ho: Pr(East) = Pr(West)
Ha: Pr(East) &#8800; Pr(West)

B) Determine the rejection region. For example "if , then reject ".
The two-tailed 5% significance level z = 1.96
Thus, if z > ...

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