Assume that the samples are independent and that they have been randomly selected. 1) In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p1 - P2.

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Assume that the samples are independent and that they have been randomly selected.
1) In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29,
14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p 1
- P2-
(a) Find the best point estimate for P1 - P2.
(b) Find the critical values by first sketching the normal distribution curve and identifying the indicated area on
the graph.
Un m
(c) Find the margin of error. Be sure to set up the equation.
(d) Construct the confidence interval.
BENE!
S
(70
suad
HEL
Transcribed Image Text:Assume that the samples are independent and that they have been randomly selected. 1) In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p 1 - P2- (a) Find the best point estimate for P1 - P2. (b) Find the critical values by first sketching the normal distribution curve and identifying the indicated area on the graph. Un m (c) Find the margin of error. Be sure to set up the equation. (d) Construct the confidence interval. BENE! S (70 suad HEL
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