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 in the study, there were 90 in the group who received the placebo and 5 in those who received the vaccine (Please use 6 decimals). a. What proportion of people who received the placebo was infected? b. Find the 95% confidence interval of the proportion of people who received the placebo that were infected. c. What proportion of the people who received Moderna’s vaccine was infected? d. Find the 95% confidence interval of the proportion of people who received the vaccine was infected. e. Based on these findings (from 2a – 2d), would you conclude that the proportions of infected persons of the placebo and vaccine groups are statistically significantly different? Based your conclusion on whether the confidence intervals overlap (no significant difference) or not (the difference is statistically significant).
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 in the study, there were 90 in the group who received the placebo and 5 in those who received the vaccine (Please use 6 decimals).
a. What proportion of people who received the placebo was infected?
b. Find the 95% confidence interval of the proportion of people who received the placebo that were infected.
c. What proportion of the people who received Moderna’s vaccine was infected?
d. Find the 95% confidence interval of the proportion of people who received the vaccine was infected.
e. Based on these findings (from 2a – 2d), would you conclude that the proportions of infected persons of the placebo and vaccine groups are statistically significantly different? Based your conclusion on whether the confidence intervals overlap (no significant difference) or not (the difference is statistically significant).
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