he Las Vegas Review-Journal (R-J) posts an article on their website reporting on a poll they conducted for the upcoming Senate election.  Their poll asked likely Nevada voters who they intend to vote for. The results were: Catherine Cortez Masto with 45%, Adam Laxalt with 41%, 14% undecided, and they report that their poll has a +/- 3.5 percentage point margin of error. The article's headline is "Cortez-Masto Leads Laxalt by 4 Points." Is the R-J right? That is, can we be reasonably sure (95% confident) that Cortez-Masto really is ahead of Laxalt? if we had the raw data we could just load it into R and do a quick difference of means test, but we don't need the actual data to figure it out in this case. In your answer, address the following: (1) Is the R-J probably right that Cortez-Masto leads Laxalt? (2) how you came to that conclusion?

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Author:Amos Gilat
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The Las Vegas Review-Journal (R-J) posts an article on their website reporting on a poll they conducted for the upcoming Senate election.  Their poll asked likely Nevada voters who they intend to vote for. The results were: Catherine Cortez Masto with 45%, Adam Laxalt with 41%, 14% undecided, and they report that their poll has a +/- 3.5 percentage point margin of error. The article's headline is "Cortez-Masto Leads Laxalt by 4 Points."

Is the R-J right? That is, can we be reasonably sure (95% confident) that Cortez-Masto really is ahead of Laxalt? if we had the raw data we could just load it into R and do a quick difference of means test, but we don't need the actual data to figure it out in this case. In your answer, address the following: (1) Is the R-J probably right that Cortez-Masto leads Laxalt? (2) how you came to that conclusion?

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