According to TeacherSalaryInfo.com, the median salary of a teacher in Illinois is $57,283. A politician obtains the following data based on a random sample of 12 teachers in a district currently experiencing financial difficulty. Do the data support the belief that the teachers in the district are paid less than the average teacher in the state? Use the α = 0.05 level of significance.

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40,836 48,152 53,620 92,006 47,508 113,924 45,470 49,893 56,838 69,899 48,876 73,316