A decade-old study found that the proportion, P, of high school seniors who believed that "getting rich" was an important personal goal was 75%. A researcher decides to test whether or not that percentage still stands. He finds that, among the high school seniors in his random sample, believe that "getting rich" is an important goal. Can he conclude, at the o05 level of significance, that the proportion has indeed changed? 235 166 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 table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H, H, :0 H, :0 믐 (b) Determine the type test statistic to use. (Choose one) OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the two critical values. (Round to three or more decimal places.) Dand |(e) Can we conclude that the proportion of high school seniors who believe that "getting rich' is an important goal has changed? OYes ONo

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