Question 4The table shows the number of deaths due to Covid-19 according to the vaccination status, duringthe period from 8 October to 17 October 2021 in Singapore.UnvaccinatedPartially VaccinatedFully VaccinatedNumber of deaths492325(i) A researcher considers a multinomial distribution specified by probabilities of death 1– 30, 20 andO for the unvaccinated, partially vaccinated and fully vaccinated respectively. Find the maximumlikelihood estimate ô.(ii) Find an approximate estimate of Var(ê).(iii) Find an approximate 95% confidence interval for 0.(iv) Consider testing the null hypothesis that the multinomial distribution is specified by probabilities1- 30, 20 and @ for the unvaccinated, partially vaccinated and fully vaccinated respectively. Thealternative hypothesis is a multinomial distribution that does not have probabilities of the givenform. Find the Pearson chi-square test statistic X? and the likelihood ratio test statistic -2logA.(v) Perform the tests in part (iv) using the level of significance a = 0.05. State the conclusions of thetests.(vi) A second researecher considers a multinomial distribution specified by probabilities of death p1, P2and p, for the unvaccinated, partially vaccinated and fully vaccinated respectively, with p + P2 +Ps = 1. Find the maximum likelihood estimates of p.. P2 and p3. (vii) The proportions of the population who are unvaccinated, partially vaccinated and fully vaccinatedare 0.15, 0.01 and 0.84 respectively. Consider testing the null hypothesis that the multinomial distri-bution is specified by probabilities 0.15, 0.01 and 0.84 for the unvaccinated, partially vaccinated andfully vaccinated respectively. The alternative hypothesis is a multinomial distribution that does nothave probabilities of the given form. Find the Pearson chi-square test statistic X? and the likelihoodratio test statistic –2logA.(viii) Perform the tests in part (vii) using the level of significance a = 0.05. State the conclusions of thetests. What would be your advice for people who have not vaccinated?

We have given table which shows the number of deaths due to covid 19 according to the vaccination…

Answered: The table shows the number of deaths…

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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