A study is conducted to see the effectiveness of two COVID 19 vaccines: A and B. Vaccine A works effectively on 205 people in a sample of 220. Vaccine B works effectively on 585 people out of a sample of 650. Construct a 95% confidence interval for the difference in proportion of people treated between those who take vaccine A and those who take vaccine B. Hint: Please keep to at least 4 places past the decimal in calculations! (- 0.0087, 0.0723)

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A study is conducted to see the effectiveness of two COVID 19 vaccines: A and B.
Vaccine A works effectively on 205 people in a sample of 220. Vaccine B works
effectively on 585 people out of a sample of 650.
Construct a 95% confidence interval for the difference in proportion of people
treated between those who take vaccine A and those who take vaccine B. Hint:
Please keep to at least 4 places past the decimal in calculations!
O (- 0.0087, 0.0723)
(-0.0022, 0.0658)
(-0.0215, 0.0851)
(0.0215, 0.0851)
(0.0022, 0.0658)
Transcribed Image Text:A study is conducted to see the effectiveness of two COVID 19 vaccines: A and B. Vaccine A works effectively on 205 people in a sample of 220. Vaccine B works effectively on 585 people out of a sample of 650. Construct a 95% confidence interval for the difference in proportion of people treated between those who take vaccine A and those who take vaccine B. Hint: Please keep to at least 4 places past the decimal in calculations! O (- 0.0087, 0.0723) (-0.0022, 0.0658) (-0.0215, 0.0851) (0.0215, 0.0851) (0.0022, 0.0658)
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