the national distribution of fatal work injur...

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 \\(\\alpha = 0.025\\) 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.\n\nwhat is the null hypothesis, \\(h_0\\)?\na. the distribution of fatal work injuries in the west is 2885 transportation, 1162 equipment, 806 assaults, 749 falls, 534 harmful fumes, and 95 fires.\nb. the distribution of fatal work injuries in the west differs from the expected distribution.\nc. the distribution of fatal work injuries in the west is 43% transportation, 18% equipment, 14% assaults, 13% falls, 10% harmful fumes, and 2% fires.\n\nwhat is the alternate hypothesis, \\(h_a\\)?\na. the distribution of fatal work injuries in the west is 43% transportation, 18% equipment, 14% assaults, 13% falls, 10% harmful fumes, and 2% fires.\nb. the distribution of fatal work injuries in the west is the same as the expected distribution.\nc. the distribution of fatal work injuries in the west differs from the expected distribution.

Answer

# Brief Explanations: In hypothesis - testing for goodness - of - fit (comparing an observed distribution to an expected one), the null hypothesis assumes that the observed distribution is the same as the expected distribution. The alternative hypothesis assumes that they are different. Here, the national distribution is considered the expected distribution. # Answer: For the null hypothesis $H_0$: C. The distribution of fatal work injuries in the west is 43% transportation, 18% equipment, 14% assaults, 13% falls, 10% harmful fumes, and 2% fires. For the alternative hypothesis $H_a$: C. The distribution of fatal work injuries in the west differs from the expected distribution.