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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

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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 274 college graduates surveyed, 120 chose the response "Very important. " Of the 124 people surveyed whose highest level of education was high school or less, 60 chose the response "Very important." Based on these data, can we conclude, at the 0.10 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.) (a) State the null hypothesis //, and the alternative hypothesis ,, No : D (b) Determine the type of test statistic to use. (Choose one) 0=0 Ds0 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) X S (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) [and (e) Can we conclude that there is a difference between the two populations in the proportion who would answer "Very important"? Yes No

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