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A Senator wants to know what the voters of his state think of proposed legislati

ID: 3200379 • Letter: A

Question

A Senator wants to know what the voters of his state think of proposed legislation on gun control. He mails a questionnaire on the subject to an SRS of 2500 voters in his state. His staff reports that 448 questionnaires have been returned, 343 of which support the legislation. This is an example of a survey with little bias because a large SRS was used. a survey with little bias because it was the voters who elected the senator. a survey containing nonresponse. all of the above. The population is the 2500 voters receiving the questionnaire. the voters in his state. the 343 letters supporting the legislation. the 448 letters received. The sample is the 343 letters supporting the legislation. the 448 letters received. the 2500 voters receiving the questionnaire the voters in his state.

Explanation / Answer

(a) CORRECT OPTION IS: C. a survey containing nonrespense.

REASON:

A nonresponse bias occurs in statistical surveys if the answers of respondents differ from potential answers of those who did not answer.

OPTION A : CANNOT BE CORRECT because 2500 voters cannot be taken as large or small, because the actual population size is not given.

OPTION B: CANNOT BE CORRECT because not all the 2500 voters elected the senetor.

OPTION D: CANNOT BE CORRECT because all the above is not covered.

(b) The correct option is:

B : the voters in the state.

REASON:

The voters in the state together constitute the entire population under this survey.

(c) The correct option is:

B: the 448 letters received.

REASON:

Sample is the one based on which the population parameter is to be estimated.

Here, in order to know what the voters of his state think, the sample information is to be used. So, the sample here is the 448 letters received.

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