STAT 220: Basic Statistics for Quantitative Students

Spring 2006

Assignment due Mar. 31

Type or write your answers to the following questions to turn in on Mar. 31 in class. As always, show all your work.

  1. Do exercises 6.12, 6.13, and 6.27

  2. Download this list of all of the birthdays of the presidents and vice presidents of the United States. (Thanks, Anne, for compiling it.) It is in csv format, so if you use R you should use the read.csv command. Let me know if you get stuck.
    1. Assuming that the presidents and vice-presidents represent a representative sample from some population with regard to birthdays, perform a chi-square goodness-of-fit test of the hypothesis that the average number of births in a given month is proportional to the number of days in the month. (Assume that February has 28 days for this purpose.) Explain each step in your test, including how you calculate the expected number of births in each month under the null hypothesis. If you would like a guide, follow the steps (a) through (e) in Exercise 15.25.
    2. Perform a chi-square goodness-of-fit test of the hypothesis that each day of the week is equally likely as a birthday. Follow the same instructions as above.

  3. Use the STAT 100 dataset at http://www.stat.psu.edu/~dhunter/220/files/datasets/survey.csv to determine whether there is a relationship between an individual's sex and 2004 presidential voting behavior (Vote2004). Follow steps (a) through (d) in Exercise 15.10 for this dataset.
As always, email me if you have questions.