Need help with parts (a) to (g) on homework problem. Make sure your handwriting is neat and readable. Below is a screenshot of an excel spreadsheet with data for this problem. Things looked bleak in March of 2020, but our concerns were soon dismissed by a scientist from Pfizer, who claimed to have developed a vaccine that was 90% effective. This scientist rushed into the office of the CEO to present the findings, and the CEO asked for a second analysis to be done to confirm the results of the study. This is where a person comes in! Suppose the CEO sent a second scientist to science laboratory to sample every tenth student who walked in. This scientist ended up taking data from 33 patients, all of whom were given a vaccine and then exposed to the virus. If the vaccine prevented infection in a patient, then a value of 1 was recorded for that patient. If the vaccine failed, then a value of 0 was recorded. Write an executive summary for the CEO (using terminology that would be understood by a non-statistician) that answers the following questions: (a) Which reference distribution is the best choice to use when conducting this analysis? (b) Describe the sampling structure in detail (random, biased, stratified, in- adequate, etc.). (c) Are there any major issues with this study design that could have a bearing on the results? (d) Describe the level of information contained by the data (e.g., nominal, discrete, etc.). (e) Evaluate the claim of 90% efficacy. Is it true? Is it even close? (Yes – you need to explain how you’re defining “true” and “close”...) (f) Since these data are coming from a sample, we can only estimate the true efficacy. So... estimate the true efficacy, stating how certain you are that your estimation is correct. (g) Is there an action that the company could take to get more conclusive results? Be sure to address any pushback that the CEO might have against your proposal.
Need help with parts (a) to (g) on homework problem. Make sure your handwriting is neat and readable. Below is a screenshot of an excel spreadsheet with data for this problem.
Things looked bleak in March of 2020, but our concerns were soon dismissed
by a scientist from Pfizer, who claimed to have developed a vaccine that was
90% effective. This scientist rushed into the office of the CEO to present the
findings, and the CEO asked for a second analysis to be done to confirm the
results of the study.
This is where a person comes in! Suppose the CEO sent a second scientist to
science laboratory to sample every tenth student who walked in. This scientist
ended up taking data from 33 patients, all of whom were given a vaccine and
then exposed to the virus. If the vaccine prevented infection in a patient, then
a value of 1 was recorded for that patient. If the vaccine failed, then a value of
0 was recorded. Write an executive summary for the CEO (using terminology that would be
understood by a non-statistician) that answers the following questions:
(a) Which reference distribution is the best choice to use when conducting
this analysis?
(b) Describe the sampling structure in detail (random, biased, stratified, in-
adequate, etc.).
(c) Are there any major issues with this study design that could have a bearing
on the results?
(d) Describe the level of information contained by the data (e.g., nominal,
discrete, etc.).
(e) Evaluate the claim of 90% efficacy. Is it true? Is it even close? (Yes – you
need to explain how you’re defining “true” and “close”...)
(f) Since these data are coming from a sample, we can only estimate the true
efficacy. So... estimate the true efficacy, stating how certain you are that
your estimation is correct.
(g) Is there an action that the company could take to get more conclusive
results? Be sure to address any pushback that the CEO might have against
your proposal.
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