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U6D7 Ch.Y.U. Significance Tests for a Difference of Proportions

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Last updated 9 months ago
4 questions

Significance Tests for a Difference of Proportions

According to a recent Gallup poll, people who are college graduates are more likely to report they are satisfied with the way things are going with their personal life than people that are not college graduates. Of the 354 college graduates surveyed, 311 reported being satisfied with their personal lives. For the 384 people that were not college graduates that were surveyed, 301 that reported being satisfied.
Is there convincing statistical evidence of a difference in the proportion that are satisfied with their personal lives for all college graduates and all that are not college graduates?

1
Question 1
1.

State hypotheses for performing a significance test. Be sure to define the parameter of interest.

1
Question 2
2.

Do the results provide some evidence for Ha? Explain.

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Question 4
4.

At the alpha = 0.05 level, what conclusion can be made?

Question 3
3.

The p-value for the significance test is 0.004. Interpret the p-value.