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 242 college graduates surveyed, 80 chose the response "Very important." Of the 135 people surveyed whose highest level of education was high school or less, 65 chose the response "Very important." Based on these data, can we conclude, at the 0.01 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. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The p-value:(Round to at least three decimal places.) Can we conclude that there is a difference between the two populations in the proportions who would answer "Very important"? Yes No
The General Social Survey is an annual survey given to about
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
college graduates surveyed,
chose the response "Very important." Of the
people surveyed whose highest level of education was high school or less,
chose the response "Very important." Based on these data, can we conclude, at the
level of significance, that there is a difference between the proportion
of all U.S. college graduates who would answer "Very important" and the proportion
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.
The null hypothesis: |
H0:
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The alternative hypothesis: |
H1:
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The type of test statistic: | (Choose one)ZtChi squareF | |||
The value of the test statistic: (Round to at least three decimal places.) |
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The p-value: (Round to at least three decimal places.) |
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Can we conclude that there is a difference between the two populations in the proportions who would answer "Very important"? |
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