Question

25. 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.
better same worse
Republican
38 104 44
Democrat
12 87 137
none
21 90 118
Express each of your answers as a percent rounded to the nearest tenth (for example, 12.3%).
es
a. What percent of survey respondents identified themselves as Republicans (marginal probability)?
Tons
ive
b. What percent of survey respondents thought the economy was about the same and were Republicans
(joint probability)?
c. What percent of Republicans thought the economy was about the same conditional probability)?
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Answer 1

Add the 3 republican amounts: 38 + 104 + 44 = 186

Divide by total people: 186/651 = 0.285714

Multiply by 100: 0.285714 x 100 = 28.5714%

Round to nearest tenth = 28.6%

Total of Same column: 104 + 87+90 = 281

Divide by total people: 281/651 = 0.431644

Multiply by 100: 0.431644 x 100 = 43.1644%

Round to nearest tenth = 43.2%

Republicans that said the same = 104

Total republicans = 38 + 104 + 44 = 186

Percentage = (104/186) x 100 = 55.9%