**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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Hypothesis testing using chi-square goodness of fit : At α = 0.01 level of significance, test the hypothesis that these data can be described by a Poisson pdf. |

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