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The national distribution of fatal work injuries in a country is shown in the ta

ID: 2947607 • Letter: T

Question

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 6231 fatal work injuries occurring in that region. At a0.10 can you conclude that the distribution of fatal work injuries in the west is different from the national distribution? Complete parts a through d below National % 42% 19% 15% 14% 5% 2% Western Frequency 2895 1162 800 755 530 89 Cause Transportation Equipment saults armful fumes res a. State Ho and Ha and identify the claim

Explanation / Answer

This is a case of chi square test for the goodness of fit of the given data. We are trying to test whether the distribution of the fatal work injuries is different in the wester part of the country.

The null and the alternate hypothesis for this chi square test are given as:

H0: The distribution of the  fatal work injuries is same as the national distribution in the wester part of the country.

Ha: The  distribution of the  fatal work injuries is different from the national distribution in the wester part of the country.

The claim here is the alternate hypothesis. Therefore we have the claim given as:

Claim: The dstribution of the  fatal work injuries is different from the national distribution in the wester part of the country.