# MonthNumber of Deaths166814071370130913411338140614461332136314101526Jan.Feb.MarApr.MayJulySeptJuneAug.Oct.Dec.Nov.OV

Question
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The following table gives the number of deaths due to accidental falls for each month during 1970. Is there any evidence for a departure from uniformity in the rate over time? That is, is there a seasonal pattern to this death rate? If so, describe its pattern and speculate as to causes. Table attached.

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Step 1

Solution:

Let us first test whether “Accidents are uniformly distributed”, using a Chi-square test of Goodness of fit.

Step 2

Hypotheses:

The aim is to check whether the Accidents are uniformly distributed.

The null hypothesis is:

H : Accidents are not uniformly distributed.

The alternative hypothesis is:

H : Accidents are uniformly distributed.

Assume that the level of significance as 0.05 .

Step 3

Calculation steps:

The calculations have been done in EXCEL.

Denote Oi as the observed frequency (i =1, 2…12) and Ei as the expected frequency(i =1, 2…12). Here, the sample size .

The expected number of deaths for the parti...

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