4. The following data are the results from the Pfizer Covid 19 vaccine trials. Efficacy End-Point Subgroup BNT16262, 30 pg (N-21,669) No. of participants Surveillance time person-yr (no. at risk) Placebo (N-21,686) No. of participants Surveillance time person-yr (no. at risk) Covid-19 occurrence After dose 1 After dose 1 to before dose 2 Dose 2 to 7 days after dose 2 27 Days after dose 2 SO 39 4.015 (21,314) 3.982 (21,258) 275 82 21 172 6. a) 21669 individuals were given the vaccine in this trial and 50 were infected after they received the first vaccine. What is the probability of becoming infected with Covid 19 after receiving 1 dose of the Pfizer vaccine? This is P(infected vaccinated group) b) What is a 90% confidence interval for the proportion of people receiving the first vaccine becoming infected with Covid 19? c) The placebo group consisted of persons not receiving the vaccine. 21686 individuals were in the placebo group in this trial and 275 were eventually infected by Covid 19. What is the probability of becoming infected with Covid 19 if you were in the placebo group and not receiving the Pfizer vaccine? This is P(infected placebo group)

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a probability of 95%?
4. The following data are the results from the Pfizer Covid 19 vaccine trials.
BNT16262, 30 pg (N-21,669)
No. of participants Surveillance time
person-yr (no. at risk)
Efficacy End-Point Subgroup
Placebo (N-21,686)
No. of participants Surveillance time
person-yr (no. at risk)
Covid-19 occurrence
After dose 1
After dose 1 to before dose 2
Dose 2 to 7 days after dose 2
27 Days after dose 2
S0
39
4.015 (21,314)
275
3.982 (21,258)
82
21
172
6.
a) 21669 individuals were given the vaccine in this trial and 50 were infected after they
received the first vaccine. What is the probability of becoming infected with Covid 19 after
receiving 1 dose of the Pfizer vaccine? This is P(infected vaccinated group)
b) What is a 90% confidence interval for the proportion of people receiving the first vaccine
becoming infected with Covid 19?
c) The placebo group consisted of persons not receiving the vaccine. 21686 individuals were in
the placebo group in this trial and 275 were eventually infected by Covid 19. What is the
probability of becoming infected with Covid 19 if you were in the placebo group and not
receiving the Pfizer vaccine? This is P(infected placebo group)
d) Efficacy is defined as E =
(P(infected placebo group)- P(infected vaccinated group))
P(infected placebo group)
Use your
answers for parts a and c to find the efficacy for a single dose of the Pfizer vaccine.
Note the Pfizer vaccine requires 2 doses for maximum efficacy. We do not consider that case
here.
Transcribed Image Text:a probability of 95%? 4. The following data are the results from the Pfizer Covid 19 vaccine trials. BNT16262, 30 pg (N-21,669) No. of participants Surveillance time person-yr (no. at risk) Efficacy End-Point Subgroup Placebo (N-21,686) No. of participants Surveillance time person-yr (no. at risk) Covid-19 occurrence After dose 1 After dose 1 to before dose 2 Dose 2 to 7 days after dose 2 27 Days after dose 2 S0 39 4.015 (21,314) 275 3.982 (21,258) 82 21 172 6. a) 21669 individuals were given the vaccine in this trial and 50 were infected after they received the first vaccine. What is the probability of becoming infected with Covid 19 after receiving 1 dose of the Pfizer vaccine? This is P(infected vaccinated group) b) What is a 90% confidence interval for the proportion of people receiving the first vaccine becoming infected with Covid 19? c) The placebo group consisted of persons not receiving the vaccine. 21686 individuals were in the placebo group in this trial and 275 were eventually infected by Covid 19. What is the probability of becoming infected with Covid 19 if you were in the placebo group and not receiving the Pfizer vaccine? This is P(infected placebo group) d) Efficacy is defined as E = (P(infected placebo group)- P(infected vaccinated group)) P(infected placebo group) Use your answers for parts a and c to find the efficacy for a single dose of the Pfizer vaccine. Note the Pfizer vaccine requires 2 doses for maximum efficacy. We do not consider that case here.
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