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

Question

A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about theur party affiliation (Democrat Republican or none) and their opinion of how the US economy was changing ("getting better. getting worse" or "labout the same") The results are shown in the table below Republican Democrat none better same worse 38 164 44 12 87 137 21 98 118 Express each of your answers as a percent rounded to the nearest tenth (for example. 123%). a. What percent of survey respondents identified themselves as affiliated with neither 352 v90 b. What percent of survey respondents thought the economy was about the same? 432 c. What percent of those affiliated with neither party thought the economy was about the same? 13.8 d. Armong survey respondents who thought the economy was about the same, what percent were affliated with nesther party

Explanation / Answer

Solution:

( a )

Percentage of respondants identify as affliated with neither party = 229 / 651 = 0.3518 = 35.2%

( b )

Probability of respondants thought the economy was about the same = 281 / 651 = 0.4316 = 46.2%

( c )

number of respondants affliated to neither party = 229

number of respondants affliated to neither party thought that the economy was about the same = 90

Probability of respondants affliated to neither party thought that the economy was about the same = 90/229

= 0.3930 = 39.3%

( d )

number of respondants who thought the economy was about the same = 281

number of respondants who thought the economy was about the same and affliated to neither party = 90

Probability that respondants were affliated to neither party given that they think the economy is about the same

= 90 / 281 = 0.3202 = 32.02%

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

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