21012 boreitaied for in the beraing to this question, D ndomly Inm- 21592 hospitalized male patients with a Covid- ne hospital. Suppose pr is the true proportion of hospitalized female patients with a Covid- with regards Of these, xm - 2700 died in the hospital. Dr. Spock also randomly selected nf= Suppose or is Does sex r 21012 hospitalized female patients with a Covid-19 diagnosis. Of these, xf = 2016 died in the hospital. Suppose Pm is the true p 19 diagnosis who die in the hospital. Pm and pr are unknown and we will examine relations between them based upon Dr. Spocks samples. Let pmhat be the sample proportion of hospitalized male patients with a Covid-19 diagnosis who die in the hospital. Let pfhat be the sample proportion of hospitalized female patients with a Covid-19 diagnosis who die in the hospital. to mortality of hospitalized Covid-19 patients. To get some insight Dr. Spock of hospitalized male patients with a Covid-19 diagnosis who die in t a)Calculate an unbiased point estimate of Pm b) We wish to construct a 96 % classical confidence interval for Pm - What is the critical value multiplier zstar? c) Create a 96% classical confidence interval for Pm? d) How long is the 96% classical confidence interval for Pm? e) In terms of pm -p and nm = n, give the formula for the standard deviation of the distribution of the sample proportion pmhat. (R code) n*p*(1-p) sqrt(p*(1-p)/n) sart(n*p*(1-p)) p*(1-p)/n ) Calculate an unbiased point estimate of pr 9) Calculate an unbiased point estimate of Pm Pf h)Based on this data, calculate a 96% classical confidence interval for Pm - Pf- I. How long is the 96% classical confidence interval for Pm - Pf calculated above?

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Does sex matter with regards to mortality of hospitalized Covid-19 patients. To get some insight relating to this question, Dr. Spock randomly selected nm = 21592 hospitalized male patients with a Covid-19 diagnosis. Of these, xm = 2700 died in the hospital. Dr. Spock also randomly selected nf =
21012 hospitalized female patients with a Covid-19 diagnosis. Of these, xf = 2016 died in the hospital. Suppose Pm is the true proportion of hospitalized male patients with a Covid-19 diagnosis who die in the hospital. Suppose pf is the true proportion of hospitalized female patients with a Covid-
19 diagnosis who die in the hospital. Pm and pf are unknown and we will examine relations between them based upon Dr. Spocks samples. Let pmhat be the sample proportion of hospitalized male patients with a Covid-19 diagnosis who die in the hospital. Let pfhat be the sample proportion of
hospitalized female patients with a Covid-19 diagnosis who die in the hospital.
a)Calculate an unbiased point estimate of Pm ·
b) We wish to construct a 96 % classical confidence interval for pm . What is the critical value multiplier zstar?
c) Create a 96% classical confidence interval for pm ?
d) How long is the 96% classical confidence interval for Pm ?
e) In terms of Pm = p and nm = n, give the formula for the standard deviation of the distribution of the sample proportion pmhat.(R code)
o n*p*(1-p)
sqrt(p*(1-p)/n)
o sqrt(n*p*(1-p))
p*(1-p)/n
f) Calculate an unbiased point estimate of pf
g) Calculate an unbiased point estimate of pm - Pf
h)Based on this data, calculate a 96% classical confidence interval for Pm - Pf -
i. How long is the 96% classical confidence interval for Pm - Pf calculated above?
Transcribed Image Text:Does sex matter with regards to mortality of hospitalized Covid-19 patients. To get some insight relating to this question, Dr. Spock randomly selected nm = 21592 hospitalized male patients with a Covid-19 diagnosis. Of these, xm = 2700 died in the hospital. Dr. Spock also randomly selected nf = 21012 hospitalized female patients with a Covid-19 diagnosis. Of these, xf = 2016 died in the hospital. Suppose Pm is the true proportion of hospitalized male patients with a Covid-19 diagnosis who die in the hospital. Suppose pf is the true proportion of hospitalized female patients with a Covid- 19 diagnosis who die in the hospital. Pm and pf are unknown and we will examine relations between them based upon Dr. Spocks samples. Let pmhat be the sample proportion of hospitalized male patients with a Covid-19 diagnosis who die in the hospital. Let pfhat be the sample proportion of hospitalized female patients with a Covid-19 diagnosis who die in the hospital. a)Calculate an unbiased point estimate of Pm · b) We wish to construct a 96 % classical confidence interval for pm . What is the critical value multiplier zstar? c) Create a 96% classical confidence interval for pm ? d) How long is the 96% classical confidence interval for Pm ? e) In terms of Pm = p and nm = n, give the formula for the standard deviation of the distribution of the sample proportion pmhat.(R code) o n*p*(1-p) sqrt(p*(1-p)/n) o sqrt(n*p*(1-p)) p*(1-p)/n f) Calculate an unbiased point estimate of pf g) Calculate an unbiased point estimate of pm - Pf h)Based on this data, calculate a 96% classical confidence interval for Pm - Pf - i. How long is the 96% classical confidence interval for Pm - Pf calculated above?
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