An eight o’clock train that pulls into Penn Station in New York City every weekday has a 20 % chance of being late. A supervisor from the Port Authority recorded the number of days that the train arrived late each week for the last 100 weeks. Does the evidence compel us to refute the null hypothesis that the data come from a binomial distribution? Do a 5 % test.

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Number of late arrivals in a week Number of weeks 5 15 2 30 3 30 45 15 102 10 5 5