Question

Show all your work in detail to receive full credit. Assume that the samples are independent...

Show all your work in detail to receive full credit.
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.

(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.

(c) Find the margin of error. Be sure to set up the equation.

(d) Construct the confidence interval

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