a)Calculate an unbiased point estimate of Pm. b) We wish to construct a 94 % classical confidence interval for Pm. What is the critical value multiplier zstar? c) Create a 94% classical confidence interval for pm?

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Do the percentage of positive Covid cases resulting in serious symptoms differ between sexes? nm = 700 random
males who had just tested positive for Covid were selected. Of these, xm = 226 wound up having serious
symptoms. nf=600 random females who had just tested positive for Covid were selected. Of these, xf = 150
wound up having serious symptoms. Suppose Pm is the true proportion of males testing positive for Covid who
wind up having serious symptoms. Suppose p, is the true proportion females testing positive for Covid who wind
up having serious symptoms. Pm and pf are unknown and we will examine relations between them based upon
these samples. Let pmhat be the sample proportion of selected males who wind up having serious symptoms. Let
pfhat be the sample proportion of selected females who wind up having serious symptoms.
a)Calculate an unbiased point estimate of Pm.
b) We wish to construct a 94 % classical confidence interval for Pm. What is the critical value multiplier zstar?
c) Create a 94% classical confidence interval for Pm?
d) How long is the 94% 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)
O sqrt(p*(1-p)/n)
O sqrt(n*p*(1-p))
O 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 94% classical confidence interval for Pm-Pf.
i. How long is the 94% classical confidence interval for Pm-Pf calculated above?
Transcribed Image Text:Do the percentage of positive Covid cases resulting in serious symptoms differ between sexes? nm = 700 random males who had just tested positive for Covid were selected. Of these, xm = 226 wound up having serious symptoms. nf=600 random females who had just tested positive for Covid were selected. Of these, xf = 150 wound up having serious symptoms. Suppose Pm is the true proportion of males testing positive for Covid who wind up having serious symptoms. Suppose p, is the true proportion females testing positive for Covid who wind up having serious symptoms. Pm and pf are unknown and we will examine relations between them based upon these samples. Let pmhat be the sample proportion of selected males who wind up having serious symptoms. Let pfhat be the sample proportion of selected females who wind up having serious symptoms. a)Calculate an unbiased point estimate of Pm. b) We wish to construct a 94 % classical confidence interval for Pm. What is the critical value multiplier zstar? c) Create a 94% classical confidence interval for Pm? d) How long is the 94% 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) O sqrt(p*(1-p)/n) O sqrt(n*p*(1-p)) O 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 94% classical confidence interval for Pm-Pf. i. How long is the 94% classical confidence interval for Pm-Pf calculated above?
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