**Exercise 4** The table below gives data on the 1083 participants in a vaccine trail. Of the 549 patients who received
Posted: Wed May 11, 2022 8:49 am
**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 |
> b. Use the appropriate Z test for testing the equality of
the proportion of patients who develop type B hepatitis across the
vaccinated and unvaccinated populations with a two-sided
alternative. Verify the relation $\chi^2=Z^2$ by comparing the
observed test statistics' numeric values to those found in part
(a).
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 |
> b. Use the appropriate Z test for testing the equality of
the proportion of patients who develop type B hepatitis across the
vaccinated and unvaccinated populations with a two-sided
alternative. Verify the relation $\chi^2=Z^2$ by comparing the
observed test statistics' numeric values to those found in part
(a).