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Moderna's COVID-19 vaccine was tested in 30,000 people. Half received the vaccine, and half received a placebo. Of the 95 cases of covid-19 that developed
Moderna's COVID-19 vaccine was tested in 30,000 people. Half received the vaccine, and half received a placebo. Of the 95 cases of covid-19 that developed in the study, 90 were in the group that received the placebo and 5 in the group that received the vaccine. **For accuracy, please use 6 decimals for this problem in each step of your calculations.**
- What proportion of the people who received the placebo became infected?
- What proportion of the people who received Moderna's vaccine became infected?
- If you want to test whether the proportions of infected persons in the placebo and vaccine groups are significantly different what is the appropriate type of test?
- Carry out the test you selected in part C; assume =0.05.
- Would you conclude that the proportions of infected persons in the placebo and vaccine groups are significantly different? Why?
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