Table showing with Covid-19 confirmed cases with deaths in USA and UK as on July 8, 2020
|
|
|
Confirmed
|
|
Deaths
|
|
USA
|
|
2923432
|
|
129963
|
|
UK
|
|
286353
|
|
44391
|
|
|
Total
|
3209785
|
|
174354
|
Source: WHO
Let P1 and P2 be the proportion of deaths to
confirmed cases of Covid-19.
We set Null Hypothesis H0: P1 = P2
Then the Alternative Hypothesis is H1:: P1 # P2
We have, p = (n1p1+n2p2)/(n1+n2)
and S.E. of (p1-p2) = √(pq)(1/n1+1/n2)
Z
= |p1-p2|/S.E. of (p1-p2)
|
n1 =
|
n1=
|
2923432
|
p1 =
|
0.044456
|
n2 =
|
286353
|
p2 =
|
0.155022
|
|
|
|
a1=
|
129963
|
|
|
a2=
|
44391
|
|
|
|
|
1/n1=
|
3.42064E-07
|
|
p=
|
0.054
|
q =
|
0.946
|
|
|
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1/n2=
|
3.49219E-06
|
|p1-p2|=
|
0.11056632
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|
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1/n1+1/n2=
|
|
p*q =
|
0.05136892
|
(1/n1+1/n2) =
|
|
|
3.83426E-06
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|
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=
|
0.000444
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=
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S.E. of (p1-p2) =
|
|
0.000444
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|z|=
|
249.13
|
=
|
|
|
|
|z| = 2.58 at 1% level of significance. We reject the Null Hypothesis H0
as obs|z| = 249.13 and conclude that
proportion of deaths due to Covid-19 is significantly higher in U.K. than in
USA.