Problem 3. A lady in Cambridge, England claimed that she is able to to discern, by taste alone, whether a cup of tea with milk had the tea poured first or the milk poured first. Sir R.A. Fisher then performed an experiment to see if her claim is valid. Eight cups of tea are prepared and presented to her in random order. Four had the milk poured first, and four had the tea poured first. The lady tasted each one and rendered her opinion. The results are summarized in a 2 x 2 table: Poured first \\ Lady says tea first milk first tea milk Derive the exact p-value of Fisher's exact test to test whether the lady's claim is correct and make a conclusion under a = 0.05 level. Do not use R code for this question. 1