Question

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.

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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