Problem The Times of London reported on 4 January 2002 that Polish .pdf
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Problem The Times of London reported on 4 January 2002 that Polish .pdf

  1. Problem: The Times of London reported on 4 January 2002 that Polish mathematicians Gliszczynski and Zawadowski recorded 140 heads in 250 spins (56%) of the Belgian one euro coin, suggesting that it was unbalanced; this touched off an international media frenzy. The story is reported in the 11.02 issue of Chance News, available at www.dartmouth.edu/~chance Test the null hypothesis that the true probability of heads is equal to 0.5. My Question: Could someone please show me how this problem is done with explained work or steps? First person to respond with correct work will receive life saver points. Solution The test hypothesis is Ho:p=0.5 Ha:p not equal to 0.5 The test statistic is Z=(phat-p)/[p*(1-p)/n] =(0.56-0.5)/sqrt(0.5*0.5/250) =1.9 If a=0.05, the critical value is |Z(0.025)|=1.96 (check standard normal table) Since Z=1.9 is less than 1.96, we do not reject Ho.