A highway department executive claims that the number of fatal accidents which o

Question

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 112 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Jan Feb Mar Apr May jun Jul Aug Sep Oc Nov Dec Fatal Accidents 8 11686 8 14 12 15 798 Copy Data Step 6 of 10: Find the value of the test statistic. Round your answer to three decimall places Answer How to enter your answer Previous Step Answers Table of Expected Values

Explanation / Answer

applying chi square goodness of fit test:

from above test statistic =10.575 ( please try 10.571 if this comes wrong and revert)

observed Expected Chi square category Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei Jan    1/12 8.000 9.330 0.190 Feb    1/12 11.000 9.330 0.299 Mar    1/12 6.000 9.330 1.189 Apr    1/12 8.000 9.330 0.190 May    1/12 6.000 9.330 1.189 Jun    1/12 8.000 9.330 0.190 Jul    1/12 14.000 9.330 2.338 Aug    1/12 12.000 9.330 0.764 Sep    1/12 15.000 9.330 3.446 Oct    1/12 7.000 9.330 0.582 Nov    1/12 9.000 9.330 0.012 Dec    1/12 8.000 9.330 0.190 total 1.000 112 111.96 10.575

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