Question

According to poll results released by the Pew Research Center (www.people-press.org) in 2010, when adults in the United States were asked whether there is solid evidence that the average temperature on earth has been getting warmer over the past few decades, the estimated odds of a yes response for a Democrat was 2.96 times higher than for an Independent and it was 2.08 times higher for an Independent than for a Republican. Find the estimated odds ratio between opinion on global warming and whether one i a Democrat or a Republican. Interpret.

Answer 1

Answer:

6.1568 to 1

A Democrat is 6.1568 more likely to respond "yes" than a Republican

Step-by-step explanation:

From the provided data, the following relationships can be modeled:

$D=2.96I\\I =2.08R$

Combining the information to compare democrats to republicans:

$D=2.96*2.08R\\D=6.1568R$

The estimated odds of a yes response for a Democrat was 6.1568 times higher than for a Republican. This means that a Democrat is 6.1568 more likely to respond "yes" than a Republican.