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 α=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 44% 2887 Equipment 18% 1158 Assaults 15% 804 Falls 13% 752 Harmful fumes 8% 535 Fires 2% 95 a. State H0 and Ha and identify the claim. What is the null hypothesis, H0? How do I set this whole problem up to get the correct answers?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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
α=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
|
44%
|
2887
|
||
Equipment
|
18%
|
1158
|
||
Assaults
|
15%
|
804
|
||
Falls
|
13%
|
752
|
||
Harmful fumes
|
8%
|
535
|
||
Fires
|
2%
|
95
|
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