Question

The *Centers for Disease Control* reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .34.

a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.

b. Assume that the study uses your sample size recommendation in
part (a) and finds 520 smokers. What is the point estimate of the
proportion of smokers in the population (to 4 decimals)?

c. What is the 95% confidence interval for the proportion of smokers in the population (to 4 decimals)?

( , )

Answer #1

a)

Sample size = Z2/2 * p ( 1 - p) / E2

= 1.962 * 0.34 ( 1 - 0.34) / 0.022

= 2155.14

**Sample size = 2156** (Rounded up to nearest
integer)

b)

Point estimate =
= 520 / 2156 = **0.2412**

c)

margin of error E = Z/2 * sqrt [ ( 1 - ) / n ]

= sqrt [ 1.96 * 0.2412 ( 1 - 0.2412) / 2156 ]

= 0.0181

95% CI is

- E < p < + E

0.2412 - 0.0181 < p < 0.2412 + 0.0181

0.2231 < p < 0.2593

95% CI is **( 0.2231 , 0.2593 )**

The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .35 :
A sample of 2185 is taken with a margin of error of .02 by using
95% confidence. The sample size recommendation of 2185 finds 520
smokers. A point estimate of the proportion...

The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .33.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
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The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .29.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
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The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .29.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
b....

The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .30.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
b....

The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .35.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
b....

The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .34.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
b....

The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .33.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
nearest whole number)? Use 95% confidence.
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of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
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The Centers for Disease Control reported the percentage
of people 18 years of age and older who smoke (CDC website,
December 14, 2014). Suppose that a study designed to collect new
data on smokers and nonsmokers uses a preliminary estimate of the
proportion who smoke of .35.
a. How large a sample should be taken to estimate the proportion
of smokers in the population with a margin of error of .02 (to the
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