Question two In July 2020, during the vaccine rollout for the Covid-19 emergency, it was estimated that 90% of the population over 50 years old were fully vaccinated, while only 6% were completely unvaccinated. (The remaining 4% had only one dose or had an unknown vaccination status, and therefore will not be considered here.) A Public Health report on cases and hospitalisation from the "delta" variant was published at the end of July 2020. The report showed that, between February and July 2020, among the 418 people admitted to the hospital with the "delta" variant: - 163 were fully vaccinated - 136 were not vaccinated - The remaining people had only one dose or an unknown vaccination status and will not be considered here One may therefore wrongly conclude that a fully vaccinated person is surprisingly more likely to be hospitalised than an unvaccinated person. Using Bayes' theorem to calculate the relevant probabilities from the data above, prove that this claim is wrong. Show that this data actually proves that vaccines are extremely effective at reducing the risk of hospitalisation after contracting the "delta" variant

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Question two
In July 2020, during the vaccine rollout for the Covid-19
emergency, it was estimated that 90% of the population
over 50 years old were fully vaccinated, while only 6%
were completely unvaccinated. (The remaining 4% had
only one dose or had an unknown vaccination status, and
therefore will not be considered here.) A Public Health
report on cases and hospitalisation from the "delta"
variant was published at the end of July 2020. The report
showed that, between February and July 2020, among the
418 people admitted to the hospital with the "delta"
variant:
- 163 were fully vaccinated
- 136 were not vaccinated
- The remaining people had only one dose or an unknown
vaccination status and will not be considered here
One may therefore wrongly conclude that a fully
vaccinated person is surprisingly more likely to be
hospitalised than an unvaccinated person. Using Bayes'
theorem to calculate the relevant probabilities from the
data above, prove that this claim is wrong. Show that this
data actually proves that vaccines are extremely effective
at reducing the risk of hospitalisation after contracting the
"delta" variant
Transcribed Image Text:Question two In July 2020, during the vaccine rollout for the Covid-19 emergency, it was estimated that 90% of the population over 50 years old were fully vaccinated, while only 6% were completely unvaccinated. (The remaining 4% had only one dose or had an unknown vaccination status, and therefore will not be considered here.) A Public Health report on cases and hospitalisation from the "delta" variant was published at the end of July 2020. The report showed that, between February and July 2020, among the 418 people admitted to the hospital with the "delta" variant: - 163 were fully vaccinated - 136 were not vaccinated - The remaining people had only one dose or an unknown vaccination status and will not be considered here One may therefore wrongly conclude that a fully vaccinated person is surprisingly more likely to be hospitalised than an unvaccinated person. Using Bayes' theorem to calculate the relevant probabilities from the data above, prove that this claim is wrong. Show that this data actually proves that vaccines are extremely effective at reducing the risk of hospitalisation after contracting the "delta" variant
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