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

ID: 2906984 • 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 Republicans?

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

What fraction of Republicans thought the economy was about the same?

Among survey respondents who thought the economy was about the same, what fraction were Republicans?

What fraction of survey respondents were Republicans 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 party affiliation depends on opinion about the economy.

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

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

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

Explanation / Answer

What fraction of survey respondents identified themselves as Republicans?

from table 186/651 =


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

281/651 =


What fraction of Republicans thought the economy was about the same?

104/186 =. 5591

Among survey respondents who thought the economy was about the same, what fraction were Republicans?

104/281


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

= 104/651 = .1597

as all the charts are majorly different we can say that

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

better same worse total Republican 38 104 44 186 Democrat 12 87 137 236 none 21 90 118 229 total 71 281 299 651
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