Question

A presidential candidate's alde estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 75%. If 222 out of a random sample of 270 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.01 level of significance? Perform a one-talled test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: 4 o р X s The alternative hypothesis: The type of test statistici (Choose one) DO OSD 020 OcO > The value of the test statistics (Round to at least three decimal places.) D X ? The critical value at the 0.01 level of significance D Round to at least three decimal places) Can we reject the de's estimate that the proportion of college students who intend to vote is Yes to 75% No

Answer 1

# The null hypothesis Ho: p<0.75 The alternative hypothesis H:p> 0.75 The type of test statistic Z-test for proportion (right-tailed) The value of the test statistic Z Ô-PO Po(1-P) 0.8222-0.75 0.75(1-0.75) 270 = 2.741 n The critical value 2.326 Decision: Yes