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Hypothesis Testing- Goodness of Fit

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A table showing the season in which the first 36 U.S. presidents died. Research question: At alpha=0.10, Can you reject the hypothesis that presidents' deaths are uniformly distributed by season?

Month of Demise Deaths
January-March 11
April-June 9
July-September 10
October-December 6
Total 36

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Solution Summary

The solution describes the steps to test the hypothesis if the deaths are uniformly distributed by season.

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Please refer attached file as formulas typed with MS word are missing here.

Solution

If deaths are uniformly distributed, expected number of deaths in each season=36/4=9

Season Observed Frequency Expected Frequency
Fo Fe (Fo-Fe)^2 (Fo-Fe)^2/Fe
Jan-Mar 11 9 4 0.4444
Apr-Jun ...

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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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