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We are interested in looking at the difference in crime rates for states that were red...

  1. We are interested in looking at the difference in crime rates for states that were red versus blue in the 2012 election. The following summary statistics are given for red and blue states and we are interested in comparing them to see if there is a significant difference between the two groups.

State Color

Red

Blue

Sample Size

24

26

Average Crime (per 100,000)

369

327

Sample Standard Deviation

120

136

  1. What is the 99% confidence interval for the difference between the average in red states versus blue states?
  2. What is the test statistic for the difference from red to blue states?
  3. What is the p-value?
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