A statistician takes the same bus to work every day. He arrives at the bus stop at 8AM every morning, however, the bus is not always on time. For fun, he recorded the minutes he had to wait before the bus arrived for 60 days. He wants to see if waiting time of the two buses is distributed about the same way. That is, the hypothesis under consideration is H0: pi1 = pi2, i = 1, 2, 3, 4, 5, 6. Write down the hypothesis test. Use α = 0.05 and a chi-square statistic to answer this question 02466174611236427442254441243 22 5031100527133323 141 353 5133032He first set the six sets of outcome based on waiting time asA1= {0, 1}, A2 = {2}, A3 ={3}, A4 = {4}, A5={5, 6}, A6= {7, 8,....), and counted the frequencies of wait time foreach set. One year later, he moves to a new apartment andtakes another bus to work. He recorded the time for waitingthe new bus for 40 days, calculated the frequencies as well.Outcome setsA1 A2 A3 A4 A5 A6 TotalFrequency (old bus) 15 11 12 10 9 3 60Frequency (new bus) 10 8 8 6 6 2 40

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A statistician takes the same bus to work every day. He arrives at the bus stop at 8AM every morning, however, the bus is not always on time. For fun, he recorded the minutes he had to wait before the bus arrived for 60 days. He wants to see if waiting time of the two buses is distributed about the same way. That is, the hypothesis under consideration is H0: pi1 = pi2, i = 1, 2, 3, 4, 5, 6. Write down the hypothesis test. Use α = 0.05 and a chi-square statistic to answer this question