Statistician is searching the \home ground" effect and is studying 20 football games, of which 14 were won by the home team and 6 by the visitors. Therefore the game is a Bernoulli trial with a home win counted as a\success". The R idiom is games <- c(14,6) Due to 14 games were wins for the home side and 6 were won by the visitors.
(a) If the games are independent, what distribution species the number of home wins?
(b) What is a sensible null hypothesis to use in this context?
(c) Using chisq.test(games), or otherwise, give a p-value for the observation