Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a sample of 292 people is surveyed. the people are classified according…

Question

a sample of 292 people is surveyed. the people are classified according to political affiliation (\democrat\,
epublican\, or \independent\). they are also classified according to opinion on a bill (\in favor of\, \opposed to\, or \indifferent to\). the results are given in the contingency table below.
what is the relative frequency of respondents who are republican?
round your answer to two decimal places.

Explanation:

Step1: Calculate total Republican respondents

Sum the number of Republicans in each opinion category: \(22 + 27 + 31 = 80\)

Step2: Calculate relative frequency

Divide the total number of Republican respondents by the total number of surveyed people (\(292\)): \(\frac{80}{292} \approx 0.27\) (rounded to two decimal places)

Answer:

\(0.27\)