Covid	No Covid
Placebo	90	14910	15000
Moderna	5	14995	15000

Construct 95% confidence intervals for the following three parameters and interpret your intervals:

• P_Placebo (or simply P_0): population proportion of people getting infected among those who received Placebo
• P_Moderna (or simply P_1): population proportion of people getting infected among those who received Moderna
• P_Moderna - P_Placebo (or P_1 - P_0)), the difference of the population proportions. Discuss the relationship of the last confidence interval with the chi-square test or Z-test.