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Chapter 8: Q. T8.9 (page 549)

A telephone poll of an SRS of 1234 adults found that 62% are generally satisfied with their lives. The announced margin of error for the poll was 3%. Does the margin of error account for the fact that some adults do not have telephones?

a. Yes; the margin of error accounts for all sources of error in the poll.

b. Yes; taking an SRS eliminates any possible bias in estimating the population proportion.

c. Yes; the margin of error accounts for undercoverage but not nonresponse.

d. No; the margin of error accounts for nonresponse but not undercoverage.

e. No; the margin of error only accounts for sampling variability.

Short Answer

Expert verified

Sampling variability is accounted for by the margin of error .

The correct option is(e)

Step by step solution

01

Given information

Sample size (n)=1234

Margin of error(E)=3%=0.03

02

The objective is to find Whether the fact that some adults do not own telephones is accounted for by the margin of error. 

The margin of error accounts for sampling error. In this case, some adults who do not own telephones are not considered sampling errors, but rather non-response and response bias. Sample errors do not include selection bias, response bias, and non-response bias.

Therefore, the correct option is(e)

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