2. Moderna's November 16, 2020 press release reported interim results of its phase 3 COVID-19vaccine trial. The report indicated that there were 95 total cases of COVID-19 illness amongtheir study participants, of which 5 cases were in the treatment group, and concluded thatthe vaccine is estimated to be 94.5% effective at preventing infection. Approximately equalnumbers of participants were in each group.Let Y;1{case i was in the treatment group} be a random variable representing the outcomeof the ith case, and let yi denote the observed value of Y;. Then:iidBernoulli(p), where p represents the conditional probability that a study• Y1,..., Ynparticipant received the vaccine, given that they contracted the virus;• for the interim data, n =95 and j = 5/95 2 0.0526.(a) Compute an approximate 95% confidence interval for p.(b) The press release reports a point estimate for efficacy. Efficacy is the relative reductionin case rates, which can be approximated by 1-2, because the participant group sizesare close. Find an approximate 95% confidence interval for efficacy by applying thissame transformation to the endpoints of your interval in the previous part.(In other words, if your interval was (PL, PU), computevalid because efficacy is a monotone function of p on (0, 1).)PL 1-1-PLThis is1-pU(c) Suppose the local paper summarizes the trial results by concluding that "94.5% of vac-cinated adults develop immunity". Is this interpretation correct?

From the provided information, p⏜=0.05261-α=0.95n=95

Answered: 2. Moderna's November 16, 2020 press…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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