Question
In: Statistics and Probability
Two different protocols for treating breast cancer were compared. One, called ALND, involves more radical surgery...
Two different protocols for treating breast cancer were compared. One, called ALND, involves more radical surgery (more tissue is removed) with a greater risk of side effects. The other, called SLND, involves less tissue removal and possibly fewer side effects. (There is more detail about this study on p. 526 of Moore, Notz and Fligner, 6th Edition.)
A group of patients is randomly assigned to one or the other treatment and the patients are followed up after five years to see if they are still disease free at that point. The results are summarized in the following table.
| Group | Sample size | Disease free after five years |
| ALND | 420 | 345 |
| SLND | 436 | 366 |
Do this study provide evidence significant at the 10% level that the proportions of patients who are cancer free after five years are different under the two treatments?
Formulate H0H0 and HaHa.
a. Give the test statistic:
b. Give the PP-value:
Solutions
Expert Solution
As we fail to reject H0, we conclude that the claim is false that the proportions of patients who are cancer free after five years are different under the two treatments.
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