The General Social Survey is an annual survey given to about 1500 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, 76 chose the response "Very important." Of the 130 people surveyed whose highest level of education was high school or less, 52 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 P, 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 complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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The General Social Survey is an annual survey given to about 1500 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, 76 chose the response "Very important." Of the 130 people surveyed whose highest
level of education was high school or less, 52 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 p, of all U.S. college graduates who would answer "Very important" and the
proportion p, 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 complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary,
consult a list of formulas.)
Transcribed Image Text:The General Social Survey is an annual survey given to about 1500 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, 76 chose the response "Very important." Of the 130 people surveyed whose highest level of education was high school or less, 52 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 p, of all U.S. college graduates who would answer "Very important" and the proportion p, 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 complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that there is a difference between the two populations in
the proportions who would answer "Very important"?
O Yes ONo
Transcribed Image Text:(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that there is a difference between the two populations in the proportions who would answer "Very important"? O Yes ONo
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