Test for Homogeneity · Try It 2

Ivy League schools receive many applications, but only some can be accepted. At the schools listed in, two types of applications are accepted: regular and early decision.

$$\begin{array}{ccccccc}\text{Application Type Accepted}& \text{Brown}& \text{Columbia}& \text{Cornell}& \text{Dartmouth}& \text{Penn}& \text{Yale}\\ \text{Regular}& \text{2,115}& \text{1,792}& \text{5,306}& \text{1,734}& \text{2,685}& \text{1,245}\\ \text{Early Decision}& \text{577}& \text{627}& \text{1,228}& \text{444}& \text{1,195}& \text{761}\end{array}$$
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 p-value, and draw a conclusion about the test of homogeneity.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §11.4 Test for Homogeneity · Try It 2