Ivy League schools receive many applications, but only some can be accepted. At the schools listed in Table 11.20, two types of applications are accepted: regular and early decision. Application Type Accepted Brown Columbia Cornell Dartmouth Penn Yale Regular 2,115 1,792 5,306 1,734 2,685 1,245 Early Decision 577 627 1,228 444 1,195 761 We want to know if the number of regular applications accepted follows the same distribution as the number of early applications accepted. State the null and alternative hypotheses, the degrees of freedom and the test statistic, sketch the graph of the χ 2 distribution and show the critical value and the calculated value of the test statistic, and draw a conclusion about the test of homogeneity.
Ivy League schools receive many applications, but only some can be accepted. At the schools listed in
Table 11.20, two types of applications are accepted: regular and early decision.
Application Type Accepted Brown Columbia Cornell Dartmouth Penn Yale
Regular 2,115 1,792 5,306 1,734 2,685 1,245
Early Decision 577 627 1,228 444 1,195 761
We want to know if the number of regular applications accepted follows the same distribution as the number of early applications accepted. State the null and alternative hypotheses, the degrees of freedom and the test statistic, sketch the graph of the χ 2 distribution and show the critical value and the calculated value of the test statistic, and draw a conclusion about the test of homogeneity.
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