Here are summary statistics on X hits for each of the 64 female archers in the 2008 Olympics:

1. Construct a confidence interval for the proportion of arrows that hit the X circle. Write out your calculation; that is, don’t just report a result from a statistics program. Do the calculation “by hand” (using a calculator or the computer, of course) and show all your work.

2. Interpret the resulting interval.

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Archer count 64 Arrow count 4608 Total X's 375 Proportion of X's 0.0814 Mean no. of X's 5.85938 Std Dev in no. of #X's 2.86671