Assignment for Monday, April 10 (M 358K, Sp 06, Smith)
I. Read Section 8.2. Be sure to pay particular attention to the following:
- The discussion on pp. 555 - 556 of why our estimator of the
difference of the population proportions is an unbiased estimator, and
why the formula for the standard deviation of the difference in
proportions is correct.
- Why the confidence interval is only approximate.
- The conditions (bottom of box on p. 556) on when this procedure is appropriate.
- Note that there is an error in the second to last column of
the Crunch It! output in Figure 8.4 -- the lower limit of the
confidence interval is wrong. (You can figure out how the error was
made by looking at Figure 8.5 on p. 564.)
- How to modify the first procedure to use the Plus Four
method (pp. 558 - 560), and when the Plus Four method is appropriate
(bottom of box on p. 559).
- The caution on p. 560.
- The reasoning behind the "pooled standard deviation" for a
hypothesis test for the difference of two proportions (pp. 561 - 562).
- The rule of thumb for when the significance test for comparing two proportions is appropriate. (Sentence below box on p. 562).
- The concept of relative risk. (pp. 563 - 565).
II. Do the following exercises to reinforce reading and for possible class discussion: 8.31 – 8.34, 8.41.