SOLUTION: The General Social Survey is an annual survey given to about 1,500 U.S. adults selected at random. Each year, the survey contains several questions meant to probe respondents' view

Question 150513: The General Social Survey is an annual survey given to about 1,500 U.S. adults selected at random. Each year, the survey contains several questions meant to probe respondents' views of employment. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 261 college graduates surveyed, 107 chose the response "Very important." Of the 121 people surveyed whose highest level of education was high school or less, 34 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?
Perform a two-tailed test. Then answer the 6 questions below.
Carry your intermediate computations to at least three decimal places and round your answers the same way.
1) The null hypothesis
2) The alternative hypothesis
3) The type of test statistic (Z, t, chi-square, etc)
4) The value of the test statistic
5) The p-value
6) (YES OR NO) Can we conclude that there is a difference between the two populations in the proportions who would answer "very important"?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The General Social Survey is an annual survey given to about 1,500 U.S. adults selected at random. Each year, the survey contains several questions meant to probe respondents' views of employment. A recent survey contained the question "How important to your life is having a fulfilling job?"
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Of the 261 college graduates surveyed, 107 chose the response "Very important." Of the 121 people surveyed whose highest level of education was high school or less, 34 chose the response "Very important."
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Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?
Perform a two-tailed test. Then answer the 6 questions below.
Ho: p(coll) - p(hs) =0
Ha: p(coll) - p(hs) is not equal to 0
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Carry your intermediate computations to at least three decimal places and round your answers the same way.
1) The null hypothesis (above)
2) The alternative hypothesis (above)
3) The type of test statistic (Z, t, chi-square, etc)
I ran a 2-Prop Z-test
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4) The value of the test statistic
z = 4.4029
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5) The p-value: 0.000010688
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6) (YES OR NO) Can we conclude that there is a difference between the two populations in the proportions who would answer "very important"?
Since p-value is less than alpha, reject Ho.
There is a difference in the proportions.
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Cheers,
Stan H.

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