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 equals 0.05 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.
Cause National % Western Frequency
Transportation 43% 2893
Equipment 19% 1162
Assaults 15% 805
Falls 13% 749
Harmful fumes 7% 531
Fires 3% 91
a. State Upper H0 and Upper Ha and identify the claim. What is the null hypothesis, Upper H0?
A. The distribution of fatal work injuries in the west differs from the expected distribution.
B. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires.
C. The distribution of fatal work injuries in the west is 2893 transportation, 1162 equipment, 805 assaults, 749 falls, 531 harmful fumes, and 91 fires.
What is the alternate hypothesis, Upper Ha?
A. The distribution of fatal work injuries in the west is the same as the expected distribution.
B. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires.
C. The distribution of fatal work injuries in the west differs from the expected distribution.
Which hypothesis is the claim?
Upper H0
Upper Ha
b. Determine the critical value, chi^2, and the rejection region.
chi^2 = nothing (Round to three decimal places as needed.)
Determine the rejection region.
A. chi squared greater than chi^2
B. chi squared less than or equals chi^2
C. chi squared greater than or equals chi^2
D. chi squared less than chi^2
c. Calculate the test statistic.
chi^2 = nothing (Round to three decimal places as needed.)
d. Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Reject
Reject
Fail to reject Upper H0. At the 5% significance level, there is not enough evidence to conclude that the western distribution of fatal work injuries differs from the national distribution.