stat203_practice_midterm1A.pdf

# stat203_practice_midterm1A.pdf - STAT 203 Practice Midterm...

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STAT 203 Practice Midterm Exam #1A (Total mark: 30) 1. The following contingency table shows the admission status and gender of applicants for the Master of Arts program in the economics and psychology departments of a national university. There are a total of 855 applicants across the two departments. Admitted Not admitted Total Male 177 226 403 Female 177 275 452 Total 354 501 855 (a) Write down the conditional distribution of gender among applicants who are ad- mitted. [2 marks] (b) What percentage of applicants being rejected are males? [1 mark] (c) True or false? (Check your answer) [1 mark] The two variables gender and admission status are independent because among those who are admitted, there is the same percentage of males and females. TRUE FALSE 1

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(d) Now we look at the data for the two departments separately: Economics department # admitted # applicants Admission rate Male 132 268 132/268 = 49.3% Female 75 148 75/148 = 50.7% Psychology department # admitted # applicants Admission rate Male 45 135 45/135 = 33.3 % Female 102 304 102/304 = 33.6 % Within each department, the admission rate is higher among females. However, when we combine the data from the two departments, males have a higher ad- mission rate (177/403=43.9% for males vs. 177/452=39.2% for females). Briefly explain this phenomenon. [2 marks] 2
2. In an antihypertensive medication trial, patients were given either one of the active and the placebo treatments. Their blood pressures were measured at start of the study and 9 months after. The changes in blood pressure are plotted in the following two

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• Winter '18
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