### Hypothesis testing using chi-square goodness of fit

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Hypothesis testing using Chi-square Goodness of Fit:

From 1837 to 1932, the United States Supreme Court had 48 vacancies. The table below shows the number of years in which exactly k of the vacancies occurred (208). At α = 0.01 level of significance, test the hypothesis that these data can be described by a Poisson pdf.

 Number of Vacancies Number of Years 0 59 1 27 2 9 3 1 4+ 0

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