20. The Times of London reported on 4 January 2002 that Polish mathematicians Gliszczyński 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 http://www.dartmouth.edu/-chance/chance_news/recent_news/ chance_news_11.02.html#item2 [accessed 12 July 2019]. a. Test the null hypothesis that the true probability of heads is equal to 0.5. b. Place a 95% confidence interval around the sample proportion.

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