Question
Asked May 7, 2019
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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. 

 

 

Month
Number of Deaths
1668
1407
1370
1309
1341
1338
1406
1446
1332
1363
1410
1526
Jan.
Feb.
Mar
Apr.
May
July
Sept
June
Aug.
Oct.
Dec.
Nov.
OV
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Month Number of Deaths 1668 1407 1370 1309 1341 1338 1406 1446 1332 1363 1410 1526 Jan. Feb. Mar Apr. May July Sept June Aug. Oct. Dec. Nov. OV

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Expert Answer

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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Math

Statistics

Hypothesis Testing

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