In an experiment listeners A and B were asked to distinguish

In an experiment, listeners A and B were asked to distinguish the words \"pin\" and \"pen\" from a particular English dialect. A and B listened to 20 pairs of \"pin\" versus \"pen\". A was able to distinguish 16 pairs of \"pin-pen\", while B was able to distinguish 3 pairs. You wonder if A\'s ability to distinguish \"pin-pen\" is different from B\'s ability to do so. What is the Null Hypothesis? What is the Alternative Hypothesis? Please re-state the question into null and alternative hypotheses, so that we can compare the hypotheses formally. Please be precise and clear in your answers. For example: \"It happens by chance\" is a bad answer. Please define \"it\". \"The probability is smaller than 0.1/0.5/0.05.\" I am not too concerned about the exact alpha value (since it varies from fields to fields). Please, however, define the probability of \"what\" are we talking about.

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