Question
In: Statistics and Probability
The national distribution of fatal work injuries in a country is shown in the table to...
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
country and randomly select 5000 fatal work injuries occurring in
that region. At
α= 0.10, can you conclude that the distribution of fatal work
injuries in the west is different from the
national distribution?
% Actual counts
Category 1 20% 1020
Category 2 30% 1505
Category 3 40% 2100
Category 4 10% 375
Solutions
Expert Solution
H0: Null Hypothesis: The distribution of fatal work injuries in the west is not different from the national distribution
HA:Alternative Hypothesis: The distribution of fatal work injuries in the west is different from the national distribution (Claim)
Test Statistic (
)
is got as follows:
| Category | Observed (O) | Expected (E) | (O - E)2/E |
| Category 1 | 1020 | 5000 X 0.20= 1000 | 0.400 |
| Category 2 | 1505 | 5000 X 0.30 = 1500 | 0.017 |
| Category 3 | 2100 | 5000 X 0.40 = 2000 | 5.000 |
| Category 4 | 375 | 5000 X 0.10 = 500 | 31.250 |
| Total =
= |
36.667 |
dt = 4 - 1 = 3
From Table, critical value of
=6.251
Since caluclated value of
= 36.667 is greater than critical value of
= 6.251. the difference is different. Reject null hypothesis.
Conclusion:
The data support the claim that the distribution of fatal work injuries in the west is different from the national distribution (Claim)
orchestra answered 2 years agoRelated Solutions
The national distribution of fatal work injuries in a country is shown in the table to...
The national distribution of fatal work injuries in a country is
shown in the table to the right under National %. You believe that
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that the distribution of fatal work injuries in the west is
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alpha equals 0.10α=0.10
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