4. 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 a= 0.10 can you conclude that the distribution of fatal work injuries in the west is different from the national Transportation distribution? Complete parts a through d below. Cause National % Western Frequency 2890 1162 43% Equipment Assaults 19% 15% 803 13% 753 Falls Harmful fumes 7% 534 Fires 3% 89 a. State H, and H, and identify the claim. What is the null hypothesis, H,? O A. The distribution of fatal work injuries in the west is 2890 transportation, 1162 equipment, 803 assaults, 753 falls, 534 harmful fumes, and 89 fires. O B. The distribution of fatal work injuries in the west differs from the expected distribution. OC. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires. What is the alternate hypothesis, H,? O A. The distribution of fatal work injuries in the west is the same as the expected distribution. O B. The distribution of fatal work injuries in the west differs from the expected distribution. OC. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires. Which hypothesis is the claim? O Ho O H. b. Determine the critical value, YA, and the rejection region. (Round to three decimal places as needed.) Determine the rejection region. OA. Xsx O B. X > x% c. Calculate the test statistic. (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) Họ. At the 10% significance level, there (2) enough evidence to conclude that the westen distribution of fatal work injuries (3) the national distribution. (3) O differs from (1) O Fail to reject O Reject (2) O is O is not O is the same as

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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National %
43%
Western Frequency
2890
4.
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
Cause
of the country and randomly select 6231 fatal work injuries occurring in that region. At a = 0.10 can you conclude that the distribution of fatal work injuries in the west is different from the national Transportation
Equipment
Assaults
Falls
Harmful fumes
Fires
distribution? Complete parts a through d below.
19%
1162
15%
803
13%
753
7%
534
3%
89
a. State Ho and H, and identify the claim.
What is the null hypothesis, H,?
O A. The distribution of fatal work injuries in the west is 2890 transportation, 1162 equipment, 803 assaults, 753 falls, 534 harmful fumes, and 89 fires.
O B. The distribution of fatal work injuries in the west differs from the expected distribution.
OC. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires.
What is the alternate hypothesis, H,?
O A. The distribution of fatal work injuries in the west is the same as the expected distribution.
O B. The distribution of fatal work injuries in the west differs from the expected distribution.
O C. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires.
Which hypothesis is the claim?
o Ho
O Ha
b. Determine the critical value, Yo, and the rejection region.
(Round to three decimal places as needed.)
Determine the rejection region.
O B. >x%
O D. X 2%
O A. X SXo
OC.
c. Calculate the test statistic.
(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)
Họ. At the 10% significance level, there (2)
enough evidence to conclude that the western distribution of fatal work injuries (3)
the national distribution.
(2) O is
O is not
(1) O Fail to reject
(3) O differs from
O Reject
O is the same as
Transcribed Image Text:National % 43% Western Frequency 2890 4. 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 Cause of the country and randomly select 6231 fatal work injuries occurring in that region. At a = 0.10 can you conclude that the distribution of fatal work injuries in the west is different from the national Transportation Equipment Assaults Falls Harmful fumes Fires distribution? Complete parts a through d below. 19% 1162 15% 803 13% 753 7% 534 3% 89 a. State Ho and H, and identify the claim. What is the null hypothesis, H,? O A. The distribution of fatal work injuries in the west is 2890 transportation, 1162 equipment, 803 assaults, 753 falls, 534 harmful fumes, and 89 fires. O B. The distribution of fatal work injuries in the west differs from the expected distribution. OC. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires. What is the alternate hypothesis, H,? O A. The distribution of fatal work injuries in the west is the same as the expected distribution. O B. The distribution of fatal work injuries in the west differs from the expected distribution. O C. The distribution of fatal work injuries in the west is 43% transportation, 19% equipment, 15% assaults, 13% falls, 7% harmful fumes, and 3% fires. Which hypothesis is the claim? o Ho O Ha b. Determine the critical value, Yo, and the rejection region. (Round to three decimal places as needed.) Determine the rejection region. O B. >x% O D. X 2% O A. X SXo OC. c. Calculate the test statistic. (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) Họ. At the 10% significance level, there (2) enough evidence to conclude that the western distribution of fatal work injuries (3) the national distribution. (2) O is O is not (1) O Fail to reject (3) O differs from O Reject O is the same as
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