In an experiment, listeners A and B were asked to distinguish the words \"pin\"

Question

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.

Explanation / Answer

In an experiment, listeners A and B were asked to distinguish the words "pin"

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