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 ? = 0.10 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. Cause | National % | Western Frequency Transportation | 42% | 2895 Equipment | 19% | 1162 Assaults | 15% | 800 Falls | 14% | 755 Harmful fumes | 8% | 530 Fires | 2% | 89 a. State H? and H? and identify the claim. What is the null hypothesis, H?? A. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires. B. The distribution of fatal work injuries in the west differs from the expected distribution. C. The distribution of fatal work injuries in the west is 2895 transportation, 1162 equipment, 800 assaults, 755 falls, 530 harmful fumes, and 89 fires. What is the alternate hypothesis, H?? 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 differs from the expected distribution. C. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires. Which hypothesis is the claim? H? H? b. Determine the critical value, ??², and the rejection region. ??² = ______ (Round to three decimal places as needed.) Determine the rejection region. A. ?² < ??² B. ?² ? ??² C. ?² > ??² D. ?² ? ??² c. Calculate the test statistic. ?² = ______ (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. (1) ______ H?. At the 10% significance level, there (2) ______ enough evidence to conclude that the western distribution of fatal work injuries (3) ______ the national distribution. (1) Fail to reject, Reject (2) is not, is (3) differs from, is the same as 

          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 ? = 0.10 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.

Cause | National % | Western Frequency
Transportation | 42% | 2895
Equipment | 19% | 1162
Assaults | 15% | 800
Falls | 14% | 755
Harmful fumes | 8% | 530
Fires | 2% | 89

a. State H? and H? and identify the claim.

What is the null hypothesis, H??
A. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires.
B. The distribution of fatal work injuries in the west differs from the expected distribution.
C. The distribution of fatal work injuries in the west is 2895 transportation, 1162 equipment, 800 assaults, 755 falls, 530 harmful fumes, and 89 fires.

What is the alternate hypothesis, H??
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 differs from the expected distribution.
C. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires.

Which hypothesis is the claim?
H?
H?

b. Determine the critical value, ??², and the rejection region.

??² = ______ (Round to three decimal places as needed.)

Determine the rejection region.
A. ?² < ??²
B. ?² ? ??²
C. ?² > ??²
D. ?² ? ??²

c. Calculate the test statistic.

?² = ______ (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.

(1) ______ H?. At the 10% significance level, there (2) ______ enough evidence to conclude that the western distribution of fatal work injuries (3) ______ the national distribution.

(1) Fail to reject, Reject
(2) is not, is
(3) differs from, is the same as
Show more…
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 ? = 0.10 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. Cause | National % | Western Frequency Transportation | 42% | 2895 Equipment | 19% | 1162 Assaults | 15% | 800 Falls | 14% | 755 Harmful fumes | 8% | 530 Fires | 2% | 89 a. State H? and H? and identify the claim. What is the null hypothesis, H?? A. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires. B. The distribution of fatal work injuries in the west differs from the expected distribution. C. The distribution of fatal work injuries in the west is 2895 transportation, 1162 equipment, 800 assaults, 755 falls, 530 harmful fumes, and 89 fires. What is the alternate hypothesis, H?? 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 differs from the expected distribution. C. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires. Which hypothesis is the claim? H? H? b. Determine the critical value, ??², and the rejection region. ??² = (Round to three decimal places as needed.) Determine the rejection region. A. ?² < ??² B. ?² ? ??² C. ?² > ??² D. ?² ? ??² c. Calculate the test statistic. ?² = (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. (1) H?. At the 10% significance level, there (2) enough evidence to conclude that the western distribution of fatal work injuries (3) the national distribution. (1) Fail to reject, Reject (2) is not, is (3) differs from, is the same as

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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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 = 0.10 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. Cause: Transportation, Equipment, Assaults, Falls, Harmful fumes, Fires National %: 42%, 19%, 15%, 14%, 8%, 2% Western Frequency: 2895, 1162, 800, 755, 530, 89 a. State H₀ and Hₐ and identify the claim. What is the null hypothesis, H₀? The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 15% assaults, 14% falls, 8% harmful fumes, and 2% fires. What is the alternate hypothesis, Hₐ? The distribution of fatal work injuries in the west differs from the expected distribution. Which hypothesis is the claim? Hₐ b. Determine the critical value, χ₀², and the rejection region. χ₀² = (Round to three decimal places as needed.) Determine the rejection region. χ² > χ₀² c. Calculate the test statistic. χ² = (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. (1) ______ H₀. At the 10% significance level, there (2) ______ enough evidence to conclude that the western distribution of fatal work injuries (3) ______ the national distribution.
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Transcript

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00:01 So i took your data that you're having for this kai squared goodness of fit test at an alpha level of 0 .1.
00:11 And i put all the observed values into my list 1.
00:16 I happen to put the expected decimals or the percents in list 2.
00:23 And then i added up this total.
00:25 This came out to be a total of 6 ,231.
00:28 And i found the expected values by multiplying the 6231 times the expected proportion, and i got all these expectants that i have in list three.
00:45 And when i did that calculation, first of all, you already have your null hypothesis correct.
00:52 That null hypothesis was letter a, and you had all those proportions are equal to what the assumed value was.
01:02 And then you also have your null hypothesis.
01:06 Mathesol is your hypothesis and your null hypothesis, excuse me, alternative hypothesis was that not all of the values are equal to those expected values.
01:17 And you are also correct that the claim of the person is the alternative hypothesis.
01:23 He believes that the distributions are different, that it doesn't follow...
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