1. As of mid-August 2021, 300 were non vaccinated while 124 were vaccinated. As of December 1 2021, we counted 238 vaccinated patients and 165 non vaccinated patients. Do these data show that the proportion of vaccinated patients represented less 1/3 of all admissions as of mid-August 2021 and more than 50% as of December 1 2021? 2. Let us scale the data, mid-August 2021, non-vaccinated represented 145 admissions for 10 millions of non vaccinated habitants and vaccinated represented 35 admissions for 10 millions of vaccinated habitants. As of December 1, non-vaccinated represented 160 admissions for 10 millions of non vaccinated habitants and vaccinated represented 65 admissions for 10 millions of vaccinated habitants. Can one prove as of December 1 that the proportion of admissions at hospital among non-vaccinated is larger than the proportion of admissions among vaccinated? (we will assume to ease the question that 50 millions people (resp. 10 millions) were vaccinated (non vaccinated).

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This question is based on data as of mid-August 2021 and as of December 1 2021 and represent average daily new
admissions at hospital due to covid-19. (Note: Data were extracted from DREEES using a 7-days moving average)
1. As of mid-August 2021, 300 were non vaccinated while 124 were vaccinated. As of December 1 2021, we
counted 238 vaccinated patients and 165 non vaccinated patients. Do these data show that the proportion of
vaccinated patients represented less 1/3 of all admissions as of mid-August 2021 and more than 50% as of
December 1 2021?
2. Let us scale the data, mid-August 2021, non-vaccinated represented 145 admissions for 10 millions of non
vaccinated habitants and vaccinated represented 35 admissions for 10 millions of vaccinated habitants. As of
December 1, non-vaccinated represented 160 admissions for 10 millions of non vaccinated habitants and
vaccinated represented 65 admissions for 10 millions of vaccinated habitants. Can one prove as of December 1,
that the proportion of admissions at hospital among non-vaccinated is larger than the proportion of admissions
among vaccinated? (we will assume to ease the question that 50 millions people (resp. 10 millions) were
vaccinated (non vaccinated).
3. What do you think of these results? (imagine a population that would be 100% vaccinated with a vaccine that
would be 90% efficient, what would be the proportion of vaccinated people admitted at hospital?)
Transcribed Image Text:This question is based on data as of mid-August 2021 and as of December 1 2021 and represent average daily new admissions at hospital due to covid-19. (Note: Data were extracted from DREEES using a 7-days moving average) 1. As of mid-August 2021, 300 were non vaccinated while 124 were vaccinated. As of December 1 2021, we counted 238 vaccinated patients and 165 non vaccinated patients. Do these data show that the proportion of vaccinated patients represented less 1/3 of all admissions as of mid-August 2021 and more than 50% as of December 1 2021? 2. Let us scale the data, mid-August 2021, non-vaccinated represented 145 admissions for 10 millions of non vaccinated habitants and vaccinated represented 35 admissions for 10 millions of vaccinated habitants. As of December 1, non-vaccinated represented 160 admissions for 10 millions of non vaccinated habitants and vaccinated represented 65 admissions for 10 millions of vaccinated habitants. Can one prove as of December 1, that the proportion of admissions at hospital among non-vaccinated is larger than the proportion of admissions among vaccinated? (we will assume to ease the question that 50 millions people (resp. 10 millions) were vaccinated (non vaccinated). 3. What do you think of these results? (imagine a population that would be 100% vaccinated with a vaccine that would be 90% efficient, what would be the proportion of vaccinated people admitted at hospital?)
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