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1) In July 2020, a reporter said that something surprising was happening in Texas - a new voting intention poll showed a statistical tie between
1) In July 2020, a reporter said that something surprising was happening in Texas - a new voting intention poll showed a statistical tie between republican candidate Donal Trump and Democratic candidate Joe Biden. This was surprising because, in Texas, democratic presidential candidates had always lost since 1976. However, the poll results indeed showed a larger proportion of Trump supporters (48%) than Biden supporters (46%). Why is that called a "statistical tie"? Use as much vocabulary as possible. 2) In a July 2020 poll of 1,007 Americans, Gallup found that only 13% are "satisfied with the way things are going in the United States at this time". The previous poll by Gallup in May 2020 showed a proportion of 20%. (https://news.gallup.com/poll/316736/satisfaction-lowest-nine-years.aspx Links to an external site.) Is the new July proportion "statistically tied" with that of May, or is it statistically significantly smaller? (Assume the sample sizes were equal) Justify your answer with the help of a two-sample test, the z-stat, and the p-value. 3) After the previous major economic crisis, a similar poll by Gallup in December 2008 showed a proportion of 10%. Assuming both polls were conducted with samples the same size, is there a "statistical tie" between the July 2020 and the December 2008 results? Justify your answer with the help of a two-sample test, the z-stat, and the p-value
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