Question

In a random sample of 120 cigarette smokers who were assigned to use vaporizer, 34 reported...

In a random sample of 120 cigarette smokers who were assigned to use vaporizer, 34 reported that they quit smoking after 10 weeks.

a) Give a point estimate, ?′, for the proportion of cigarette smokers who quit smoking after 10 weeks of using vaporizer

b) Construct a 99% confidence interval for the point estimate you determined in part a.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 34 / 120 = 0.283

Z/2 = 2.576

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 2.576 * (((0.283 * 0.717) / 120)

= 0.106

A 99% confidence interval for population proportion p is ,

- E < p < + E

0.283 - 0.177 < p < 0.283 + 0.177

0.177 < p < 0.389

(0.177 , 0.389)

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