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A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample

ID: 2908689 • Letter: A

Question

A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.



Express each of your first five answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).

What fraction of survey respondents identified themselves as affiliated with neither party?

What fraction of survey respondents thought the economy was about the same?

What fraction of those affiliated with neither party thought the economy was about the same?

Among survey respondents who thought the economy was about the same, what fraction were affiliated with neither party?

What fraction of survey respondents were affiliated with neither party who thought the economy was about the same?

The three pie charts below show the opinions about the economy for each of party:

Based on these pie charts, is there evidence that opinion about the economy is independent of party affiliation? Choose the statement below that best answers this question.

There is evidence that party affiliation and opinion about the economy are dependent.

There is evidence that opinion about the economy is not independent of party affiliation.

There is evidence that opinion about the economy depends on party affiliation.

There is evidence that opinion about the economy is independent of party affiliation.

There is evidence that party affiliation depends on opinion about the economy.

better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118

Explanation / Answer

answer to first 4 subparts


What fraction of survey respondents identified themselves as affiliated with neither party?
= (21 + 90 +118)/ 651
= 0.351766
What fraction of survey respondents thought the economy was about the same?
= (104 +87 + 90)/651
= 0.43164362519

What fraction of those affiliated with neither party thought the economy was about the same?
= 90/(21 + 90 +118)
=0.393013


Among survey respondents who thought the economy was about the same, what fraction were affiliated with neither party?
= 90/ (104 +87 + 90)
= 0.3202846975

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