Question: On Sunday, November 6,2005, the popular television drama The West Wing held a live debate between two fictional candidates for president. Immediately afterward, an MSNBC/Zogby poll found that \(54 \%\) favored Democratic Congressman Matt Santos, played by Jimmy Smits, whereas \(38 \%\) favored Republican Senator Arnold Vinick, played by Alan Alda. The poll was conducted online with

a sample of 1208 respondents; the Zogby company screened the online respondents to try to ensure they were representative of the population of adult Americans.

1. Are the conditions met for the confidence interval procedure to be valid with these data? Explain.
2. Produce and interpret a \(95 \%\) confidence interval for the population proportion who favored Santos.
3. Based only on this confidence interval, do the sample data suggest that more than half of the population favored Santos? Explain.

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