PUAF 610

Quantitative Methods in Policy Analysis

Fall 2007

Problem Set #11

1.

Of the students who completed the class survey, the following number were born in each month (beginning with January): 2, 4, 2, 7, 7, 5, 7, 3, 8, 9, 6, 1. Formulate and test a null hypothesis for the distribution of birth months. What do you conclude?

 
2.

Of the 208 women who applied for graduate study in UMCP’s English department in Fall 2000, 125 were accepted, while only 45 of the 110 men who applied were accepted. Formulate and test an appropriate hypothesis, and state your conclusions in plain English.
3.

Fall 2000 admissions data for the Business School appears below (U.S. citizens only). Do any appropriate chi-square test of independence. What do you conclude? What does this mean?

Race

Applied

Admitted

American Indian

4

0

Asian

139

61

Black

129

26

Hispanic

39

13

White

712

401

Total

1023

501
 

4.

UMCPsalaries.xls contains data on UMCP faculty in the Fall of 1997.

  A. List all the categorical variables in this data set. (Do not include redundant variables, such as a set of dichotomous dummy variables that is used to represent a non-dichotomous variable.)  
  B. Using the pivot table tool, construct a frequency table for any two variables, formulate and test an appropriate null hypothesis, and state your conclusions in plain English.