Question

According to the Yale Daily News, the acceptance rates for incoming freshmen who applied to Ivy League schools are reaching record lows. The counts of the number of students accepted to or denied admission from Yale, Columbia and Princeton are summarized in the table below. Decision Yale Columbia Princeton Accepted 1892 1660 1977 Denied 22813 19116 21369 a. Calculate the proportion of applicants accepted at each of these three Ivy League schools. b. Based on the results of Part a, do you think there is a significant difference in the three proportions? c. Is there evidence to suggest that the proportion of applicants accepted to Yale, Columbia and Princeton are not all equal at α = 0.01 level of significance? please no chi square

Answer 1

Chi-Square Test for Association: Worksheet rows, Worksheet columns Rows: Worksheet rows Columns: Worksheet columns Yale Columbia Princeton All 1892 1985 1660 1669 1977 5529 1875 22813 19116 21369 63298 21471 2720 19107 24705 20776 23346 68827 Cell Contents: Count Expected count Pearson Chi-Square = 10.732, DF = 2, P-value = 0.005

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