The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 247 college graduates surveyed, 113 chose the response "Very important." Of the 122 people surveyed whose highest level of education was high school or less, 54 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.) (a) State the null hypothesis H, and the alternative hypothesis H,. μ Họ :0 H :0 (b) Determine the type of test statistic to use. (Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to
your life is having a fulfilling job?" Of the 247 college graduates surveyed, 113 chose the response "Very important." Of the 122 people surveyed whose highest
level of education was high school or less, 54 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.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
μ
Họ :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) v
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(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 proportion who would answer "Very important"?
O Yes O No
Transcribed Image Text:The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 247 college graduates surveyed, 113 chose the response "Very important." Of the 122 people surveyed whose highest level of education was high school or less, 54 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.) (a) State the null hypothesis H, and the alternative hypothesis H,. μ Họ :0 H :0 (b) Determine the type of test statistic to use. (Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (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 proportion who would answer "Very important"? O Yes O No
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