The General Social Survey is an annual survey given to about 15m} U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the zoo college graduates surveyed, 98 chose the response "Very important." Of the 123 people surveyed whose highest level of education was high school or less, 29 chose the response "Very important." Based on these data, can we conclude, at the 0m 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 twotailed 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 H0 and the alternative hypothesis HI- ll O P H0 : [I _ A x 5 p H] : [I r I | I l' g (b) Determine the type of test statistic to use. J('Choose one) VI l"= 7 5| "3 I (c) Find the value of the test statistic. (Round to three or more decimal places.) i :t .(i ) I X S (d) Find the ,ovalue. {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"? (Ii-liYes C: No