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 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).

If we randomly select one of the adults who participated in this study, compute:

P(Republican) =

P(same) =

P(same|Republican) =

P(Republican|same) =

P(Republican and same) =

Explanation / Answer

P(Republican) = (38+104+44)/651 = 0.286

P(same) = (104+87+90)/651 = 0.432

P(same|Republican) = 104/(38+104+44) = 0.559

P(Republican|same) = 104/(104+87+90) = 0.370

P(Republican and same) = 104/651 = 0.160

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