Hugo has a favourite coin. He always carries the coin with him in case he ever needs to use it to help make a decision. Recently, Hugo has decided it might be interesting to collect some data related to the fairness of the coin. In his home, Hugo has five main surfaces where he typically flips his coin: two wooden surfaces (a wood table and a wood floor), two carpeted surfaces (a felt table and a carpet oor) and a glass surface (a glass table). Hugo recorded the outcome (heads or tails) and the surface on which the coin was flipped for 200 flips of his favourite coin. The counts of each outcome and surface are displayed in the contingency table below. Surface Wood Table Gla$ Table Felt Table Wood Floor Carpet Floor Heads 14 19 26 17 30 Tails 1? 22 18 19 13 A. [4 marks] Among all flips on the carpet floor, test whether the true probability of heads is greater than 0.5. Clearly state your hypotheses and use a significance level of a = 15%