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Inferences from Two Samples

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A) State the null and alternate hypothesis.
Ho: Pr(East) = Pr(West)
Ha: Pr(East) ≠ Pr(West)

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

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?_________

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Inferences from Two Samples

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.

Note: Please show how everything was obtained.

A survey was done to determine if the Cholesterol level of Americans was different than that of Canadians. Sampling from both the US and Canada yielded the following results.

Sample Size Mean Cholesterol Standard Deviation
US 40 179.2 5.3
Canada 35 177.1 3.9

Is there enough evidence at the 1% significance level to say that the cholesterol levels of US citizens and Canadian citizens differ?________

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