Question

3. 25 points] The life of everyone in the world is currently affected more or less by the COVID-19 pandemic. A similar recent disaster was the 2002-2004 SARS. SARS is another type of coronavirus that spread quickly through respiratory droplets. We suspect SARS is more deadlier than COVID-19 and would like to compare the mortality rate of the two. Let pi and p2 be the respective mortality rate of SARS and COVID-19. We test H. : P1 = P2 versus the alternative hypothesis H :P. > P2. According to Johnson, from November 2002 to July 2003, there were 8,098 cases of SARS, with 774 deaths across 29 countries. As of April 21, 2020, according to Johns Hopkins University & Medicine, there are 824, 889 confirmed COVID cases with about 45, 435 deaths in U.S.A.. (a) Define a critical region that has an a = 0.05 significance level (b) What is your conclusion? (c) What would your decision be with a significance level of a = 0.01?

Answer 1

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let and Be are the no. of cases of SARS and COVIDIG and x, & X, are the no. of cleaths out of nifre reportivels. there fool the sample propostion of dogths is be i respectively, and . = x - 774 = 0.0956 i Ni = 8098 8098 Þ= = 45935 = 0.0551 ; Nie 824,889 824,889 To test Ho: p. = b. VIR Hi piske the test statistic n, sen, Port-bul b. 11-21 and fro a level of significance: regect Ho if 22 L2 where 22 is not P(Z > 27=2; 2010,7) at a=0.05. 20 = 1.645 =) segert Ho il test statistic 221.645. 2 - 0.0956- 0.055L 10.0956(1-0.0950) 0.055111 -0.0551 8098 7 824 889 - 12.36 sine 2 1.645 ) Sepect to. =) There is sufficient evidence that SARS is more deadlies them. COVID-19 o for 2 = 0.01 ! 3 = 2.33 since also 272.33 a resort Ho.