tional Western The national distribution of fatal work injuries in a country is
ID: 3314966 • Letter: T
Question
tional Western The national distribution of fatal work injuries in a country is shown in the table to the right under National %. You believe that the distribution of fatal work injuries is different in the western part of the Transportation country and randomly select 6231 fatal work injuries occurring in that Equipment region. At = 0.05 can you conclude that the distribution of fatal work injuries in the west is different from the national distribution? Falls Complete parts a through d below Na Cause 44% 18% 15% 14% 5% 3% Frequency 2892 1158 800 747 530 104 ssaults Harmful fumes Fires a. State Ho and Ha and identify the claim What is the null hypothesis, Ho? 0 A. The distribution of fatal work injuries in the west is 44% transportation, 18% equipment, 15% assaults, O B. The distribution of fatal work injuries in the west differs from the expected distribution 14% falls, 6% harmful fumes, and 3% fires. ° C. The distribution of fatal work injuries in the west is 2892 transportation. 1 158 equipment, 800 assaults, 747 falls, 530 harmful fumes, and 104 firesExplanation / Answer
a. H0: Here option A is correct. As the fatal work injuries are as per the given proportion.
b. Alternative Hypothesis : Ha : Option C is correct here as proportions are different from expectation.
c. Here Alternative Hypothesis (Ha) is claim.
d. Here Df = 6 - 1 = 5 and alpha = 0.05
Critical value X2critical = X20.05,5 = 11.0705
Rejection region : X2 > X2critical
(e) Test statistic
The expected observed table
Here X2= 148.838
(f) So as X2 > X2critical so we shall reject the null hypothesis and can conclude that there is sufficient evidence that the western distribution of fatal injuries is different from national distribution.
Cause P(x) Expected values (E) Observed (O-E)^2/E transporataion 0.44 2741.64 2892 8.246 Equipment 0.18 1121.58 1158 1.183 Assaults 0.15 934.65 800 19.398 Falls 0.14 872.34 747 18.009 Harmful Fumes 0.06 373.86 530 65.211 Fires 0.03 186.93 104 36.791 Sum 1 6231 6231 148.838Related Questions
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