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P11.1011 Statistical Methods for Public, Nonprofit, and Health Management

Homework – Class 2

1. Below are listed the rates of abortion per 100,000 women for 20 states in 1973, before the Roe v. Wade decision, which made abortion legal in all 50 states. By 1976, abortion was accessible in all 50 states.

For this sample ₁₉₇₃= 12.21 and s₁₉₇₃=12.19.  Suppose you had data from the same 20 states in 1976.

(1) What would you predict for ₁₉₇₆ and s_1976,  and why?

Would you predict:

a. ₁₉₇₃ > ₁₉₇₆

b. ₁₉₇₃ = ₁₉₇₆

c. ₁₉₇₃ < ₁₉₇₆

Why?

(2) What would you predict for s₁₉₇₆? Would you predict:

a. s₁₉₇₃ > s₁₉₇₆

b. s₁₉₇₃ = s₁₉₇₆

c. s₁₉₇₃ < s₁₉₇₆

Why?

1. This question uses the data from question 1.

a. Compute the median for the 1973 data.  How does the median differ from the mean?  What does this tell you about the distribution of rates in this sample?

2. You are a consultant to a non-profit that awards an annual prize to soup kitchens that “consistently provide a high number of meals each day to hungry New Yorkers.” The four finalists all provide about 600 meals/day. Which one would you choose and why?