**Exercise 4** The table below gives data on the 1083 participants in a vaccine trail. Of the 549 patients who received

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**Exercise 4** The table below gives data on the 1083
participants in a vaccine trail. Of the 549 patients who received
the vaccine, 11 developed type B hepatitis. Of the 534 patients who
did not receive the vaccine, 70 developed the virus. Do these data
indicate that there is a different rate of incidence of hepatitis
between vaccinated and not vaccinated participants?
| | Hepatitis | No Hepatitis |
Total |
|----------|-----------|--------------|-------|
|Vaccinated| 11 | 538
| 549 |
|Not Vaccinated | 70 | 464
| 534 |
|-----------|----------|--------------|-------|
|Total | 81 | 1002
| 1083 |
> a. Use the $\chi^2$ test for homogeneity to gather
statistical evidence for your question of interest. Compute the
Test Statistic, Degrees of Freedom, and p value, and interpret your
findings in the context of the question. (If using chisq.test(),
use correct=FALSE)