This question is incomplete, the complete 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 193 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? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18
Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.
Answer: H₀ : The distribution of fatal accidents between each month is same
Step-by-step explanation:
H₀ : The distribution of fatal accidents between each month is same
H₁ : The distribution of fatal accidents between each month is different
Let the los be alpha 0.10
given data ;
Observed Expected
Mon Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei
Jan 11 16.0833 1.606649
Feb 13 16.0833 0.591105
Mar 22 16.0833 2.176598
Apr 11 16.0833 1.606649
May 15 16.0833 0.072971
Jun 29 16.0833 10.373489
Jul 15 16.0833 0.072971
Aug 9 16.0833 3.119603
Sep 13 16.0833 0.591105
Oct 15 16.0833 0.072971
Nov 22 16.0833 2.176598
Dec 18 16.0833 0.228411
Total: 193 93 22.689119
Expected Freq ⇒ 193 / 12 = 16.08333
Test Statistic, x² : 22.6891
Num Categories: 12
Degrees of freedom: 12 - 1 = 11
Critical value X² : 24.725
P-Value: 0.0195
since Chi-square value < Chi-square critical value
and P-value > alpha 0.01 so we accept H₀
Therefore we conclude that the distribution of fatal accidents between each month is same
