Refer to Exercise 13.159. The fan also recorded the calls

Refer to Exercise 13.159. The fan also recorded the calls on pitches that were in the strike zone and the batter did not swing (1 = ball, 2 = strike). Can we infer from the data that there is a difference in the error rate of making calls on pitches in the strike zone between the two umpires?

In exercise 13.159

Most televised baseball games display a pitch tracker that shows whether the pitch was a ball or a strike, which in turn shows whether the umpire made the correct call. Suppose a fan kept track of a random sample of calls made by two of the more experienced umpires. In this exercise he tracked pitches that were not in the strike zone and the batter did not swing. He recorded whether the umpire’s call (1= ball, 2 = strike). Is there sufficient evidence that there is a difference in the error rate of making calls on pitches that were not in the strike zone between the two umpires? (Source: Adapted from SB Nation)

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