In 2006, Merck released a vaccine named Gardasil for HPV - the most common cause of cervical cancer among young women. The company conducted four placebo controlled double blind clinical studies of women aged 16 to 26. The results were
| Treatment |
n |
Cervical cancer cases |
n |
Genital wart cases |
| Gardasil |
8487 |
0 |
7897 |
1 |
| Placebo |
8460 |
32 |
7899 |
91 |
(a): Give a 99% confidence interval for the differences in the proportion of young women who develop cervical cancer with and without the vaccine.
Lower confidence level:
Upper confidence level:
(b): Give a 99% confidence interval for the differences in the proportion of young women who develop genital warts with and without the vaccine.
Lower confidence level:
Upper confidence level:
Note: your answers should have at least three significant figures.