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 offatal work injuries is different in the western part of the country and randomly select 6231 fatal work injuries occurring in that region. At a = 0.05can you conclude that the distribution of fatal work injuries in the west is different from the national distribution? Complete parts a through d below. EquipmentCauseNational %Western Frequency2893Transportation42%19%1157AssaultsFallsHarmful fumesFires14%80613%75310%2%53290Which hypothesis is the claim?O HoHab. Determine the critical value, Xo, and the rejection region.Xo =(Round to three decimal places as needed.)Determine the rejection region.O B. Xx%OA XsxOC.c. Calculate the test statistic.X = (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.V the national distribution.V Ho. At the 5% significance level, thereV enough evidence to conclude that the western distribution of fatal work injuriesClick to select your answer(s).*:esc&@#$8971234RTYU一QWE 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 offatal work injuries is different in the western part of the country and randomly select 6231 fatal work injuries occurring in that region. At a = 0.05 Transportationcan you conclude that the distribution of fatal work injuries in the west is different from the national distribution? Complete parts a through d below. EquipmentCauseNational %Western Frequency42%289319%1157Assaults14%806FallsHarmful fumesFires13%75310%5322%90a. State Ho and H, and identify the claim.What is the null hypothesis, Ho?O A. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 14% assaults, 13% falls, 10% harmful fumes, and 2% fires.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 2893 transportation, 1157 equipment, 806 assaults, 753 falls, 532 harmful fumes, and 90 fires.What is the alternate hypothesis, H,?O A. The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 14% assaults, 13% falls, 10% harmful fumes, and 2% fires.O B. The distribution of fatal work injuries in the west is the same as the expected distribution.O c. The distribution of fatal work injuries in the west differs from the expected distribution.Which hypothesis is the claim?O HoO Hab. Determine the critical value, Xo, and the rejection region.X = (Round to three decimal places as needed.)Click to select your answer(s).esc@#&12345789QWERTYUP[* CO

a) The null hypothesis H0 is, H0: The distribution of fatal work in the west is same as the national distribution. Therefore, the correct answer is, “Option A,The distribution of fatal work injuries in the west is 42% transportation, 19% equipment, 14% assaults, 13% falls, 10% harmful fumes, and 2% fires.” The alternate hypothesis Ha is, H1: The distribution of fatal work injuries in the west is different from the national distribution. (Claim) Therefore, the correct answer is, “Option C. The distribution of fatal work injuries in the west differs from the expected distribution”. In this context, the claim is alternate hypothesis H1.b) Critical value: Degrees of freedom: 6-1=5. It is known that level of significance is α = 0.05. Therefore, the critical value will be χ20.01. From EXCEL formula “=CHISQ.INV.RT(0.05, 5)”, the critical value χ20 = 11.071. The rejection region is, “χ2 ≥χ20”. The test statistic is calculated by the formula, χ2=∑(O−E)2E Where, O represents the observed frequency and E represents the expected frequency. Methods for finding the expected frequency: Method 1: If the all the expected frequencies are equal, then E=nk Method 2: If the expected frequencies are not equal, then E=np for each category. Where, n is the total number of frequencies, k is the categories and p is the probability of occurrence. Here, the total number of frequencies is 6,231 and there are 6 outcomes then k is 6. Also, the probabilities are different. Thus, by using the second method the expected frequencies are calculated as follows. Digits E.frequency E1 2,617.02 (=(6,231)(0.42)) E2 1,183.89 (=(6,231)(0.19) E3 872.31 (=(6,231)(0.14)) E4 810.03 (=(6,231)(0.13)) E5 623.1 (=(6,231)(0.1)) E6 124.62 (=(6,231)(0.02))Cause Observed Expected Residual (O-E)2E Frequency Frequency Transportation 2893 2617.02 29.1037 Equipment 1157 1183.89 0.6108 Assaults 806 872.31 5.0450 Falls 753 810.03 4.0152 Harmful fumes 532 623.1 13.3192 Fires 90 124.62 9.6176c) Thus, the test-statistic value, χ2 is 61.7115 (=29.1037+0.6108+…+9.6176). Decision rule: If the test statistic is greater that the critical value (χ2α), reject the null hypothesis. Otherwise fail to reject the null hypothesis. Here, the test statistic, χ2 = 61.7115 is greater than the critical value, χ20.05 = 11.071. Therefore, by the decision rule, reject the null hypothesis. d) Conclusion: Therefore, there is evidence that the distribution of fatal work injuries in the west differs from the expected distribution. Reject H0. At the 5% significance level, there is enough evidence to conclude that the western distribution of fatal work injuries is different from the national distribution.

Math

Statistics

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 westen part of the country and randomly select 6231 fatal work injuries occurring in that region. At a=0.05 National % 42% Western Frequency 2893 Cause Transportation 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. Equipment Assaults Falls Harmful fumes Fires 19% 1157 14% 806 13% 753 10% 532 2% 90 Which

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 westen part of the country and randomly select 6231 fatal work injuries occurring in that region. At a=0.05 National % 42% Western Frequency 2893 Cause Transportation 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. Equipment Assaults Falls Harmful fumes Fires 19% 1157 14% 806 13% 753 10% 532 2% 90 Which

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Suppose that the school/college teaching the class is also recorded for each class (for example,…

A: Here we want to know correct graphical procedure.

Q: Among fatal plane crashes that occurred during the past 70 years, 277 were due to pilot error, 61…

A: Among fatal plane crashes that occurred during the past 70 years, 277 were due to pilot error, 61…

Q: Using 10 classes construct a frequency distribution.

A: Here given that final grades (in terms of percentages) from a class of 20 students. No of class = 10…

Q: The following data represents the age of 30 lottery winners. 24 47 60 68 70 26 26 29 52 54 61 63 65…

A: The objective is to complete the table.

Q: 10th Annual Gotham District Race Weight (pounds) Contestant Race Time Standing in Prize Number…

A: Given: Number of observations N = 16 Number of classes n = 6 Formula Used: Class width = RangeNumber…

Q: 31 34 30 18 he data represent the time, in minutes, spent reading a political blog in a day.…

A: Cumulative frequencies = For the cumulative relative frequency we add all of the previous relative…

Q: McDonald’s Dinner Service Times Refer to the accompanying frequency distribution. What problem would…

A: The given classes of the frequency distribution are 60-120, 120-180, 180-240, 240-300, 300-360.

Q: A study was conducted to examine the number of students from four different majors who are currently…

Q: The Value of Pi The ratio of the circumference of a circle to its diameter is known as (pi). The…

Q: The number of hospital beds in a sample of 20 hospitals is shown below. Construct a frequency…

Q: Among fatal plane crashes that occurred during the past 70 years, 558 were due to pilot error, 8C…

A: given data 558-pilot error80 -other human error540- whether107-mechanical problem 62 - sabotage…

Q: Sledding Injuries: Every year, about 20,000 children and teenagers visit the emergency room with…

A: Type of injuries Frequency(f) fractures 5200 cuts and bruises 4900 strains and sprains…

Q: Suppose a survey of adults and teens (ages 12–17) in a certain country was conducted to determine…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Step 2 of 2: Calculate the sample standard deviation of the credit card rate charged by the top 100…

A: We have a frequency distribution of the credit card rates charged by the top 100 issuers. We need to…

Q: The objective of building a frequency distribution is to find a meaningful pattern in the data,…

A: Given data: The objective of building a frequency distribution is to find a meaningful pattern in…

Q: Among fatal plane crashes that occurred during the past 65 years, 531 were due to pilot error, 57…

A: Given data Among fatal plane crashes that occurred during the past 65 years 531 were due to pilot…

Q: This frequency table depicts the average hours spent on social media use for students in PSY201…

A: Given,

Q: Among fatal plane crashes that occurred during the past 55 years, 194 were due to pilot error, 82…

A: The relative frequency shows the proportion and percentage of observations falling in each class,…

Q: The given data represent the number of people from a town, aged 25-64, who subscribe to a certain…

Q: The accompanying table lists the types of drug sold from a sample of convicted drug dealers. Use…

A: Step 1:Given:ValueFrequencyA73B59C42D17E20F88Other22 Step 2:Goal:Create a relative frequency Step…

Q: Among fatal plane crashes that occurred during the past 65 years, 226 were due to pilot error, 88…

A: Frequency distribution Frequency distribution is a table that shows the list of numbers given in the…

Q: Based on the following frequency distribution, what proportion of students had a grade of 60-69?…

A: Given frequency distributionTest GradesF30-39840-49750-59560-69470-79380-89290-991

Q: The following data represents the age of 30 lottery winners. 24 40 51 61 75 38 49 58 59 74 75 75 75…

A: The question is about frequency distribution.Given :Number of classes = 7Class width = 10Lower limit…

Q: Among fatal plane crashes that occurred during the past 60 years, 438 were due to pilot error, 95…

A: To complete the releative frequency distribution table.

Q: Find the following frequency distribution: Age at the First Car Purchase (in Years). Class 16 - 19…

A: ClassFrequency16-191220-23824-271528-311232-359

Q: Construct a frequency distribution for the number of car accidents.

A: Let the random variable will be the number of accidents people had been involved in. To construct a…

Q: In North Carolina, the ages of children 12 years old and under can be broken down in the following…

Q: Given the data below are the number of students in each age group. Number of students 8 6 9 10 3 10…

A: The frequency distribution table of students for each age group is given below:AgesNumber of…

Q: Construct an ungrouped frequency distribution for the data.

A: It is given that Number of observations n = 30 Data arranged in ascending order : 2, 2, 3, 3, 3, 3,…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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 a = 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. Equipment
Cause
National %
Western Frequency
2893
Transportation
42%
19%
1157
Assaults
Falls
Harmful fumes
Fires
14%
806
13%
753
10%
2%
532
90
Which hypothesis is the claim?
O Ho
Ha
b. Determine the critical value, Xo, and the rejection region.
Xo =
(Round to three decimal places as needed.)
Determine the rejection region.
O B. X<x
OD. X>x%
OA Xsx
OC.
c. Calculate the test statistic.
X = (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.
V the national distribution.
V Ho. At the 5% significance level, there
V enough evidence to conclude that the western distribution of fatal work injuries
Click to select your answer(s).
*:
esc
&
@
#
$
8
9
7
1
2
3
4
R
T
Y
U
一
Q
W
E

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

How do you complete the chart using the above ages ?
Construct a frequency bar graph. Congestive heart failure Coronary atherosclerosis Heart attack Infant birth Pneumonia 0 0 A 0 A A 100 200 Frequency 300 400
When 30 randomly selected customers left a convenience store, each was asked the number of items he or she purchased. Construct an ungrouped frequency distribution for the data. Create a histogram for the data in #7. Create a frequency polygon for the data in #7. 2 10 5 4 7 6 3 9 7 6 7 6 4 9 7 6 3 4 3 5 6 10 10 9 10 4 3 2 8 5
3. Examine the two-way frequency table below. Score: 90-100 Score: 70-89 Score: 0-69 Math Test 20 40 17 Science Test 15 35 Which percentage of students took the math test and received a grade of 90 or above? 29.85% O 57.14% O 28.69% O 16.39%
Among fatal plane crashes that occurred during the past 70 years, 577 were due to pilot error, 86 were due to other human error, 629 were due to weather, 219 were due to mechanical problems, and 493 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing% Other human error nothing% Weather nothing% Mechanical problems nothing% Sabotage nothing% (Round to one decimal place as needed.) What is the most serious threat to aviation safety, and can anything be done about it? a. pilot error is the most serious threat to aviation safety b. weather is the most serious threat to aviation safety c. mechanical problems are the most serious threat to aviation safety. d. savotage is the most serious threat to aviation…
Among fatal plane crashes that occurred during the past 70 years, 332 were due to pilot error, 63 were due to other human error, 265 were due to weather, 290 were due to mechanical problems, and 478 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing% Other human error nothing% Weather nothing% Mechanical problems nothing% Sabotage nothing% (Round to one decimal place as needed.) What is the most serious threat to aviation safety, and can anything be done about it? A. Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved. B. Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered. C.…
Among fatal plane crashes that occurred during the past 65 years, 517 were due to pilot error, 98 were due to other human error, 673 were due to weather, 60 were due to mechanical problems, and 139 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Complete the relative frequency distribution below. Relative Frequency Pilot error % 11 Other human error % Weather % Mechanical problems % Sabotage (Round to one decimal place as needed.) What is the most serious threat to aviation safety, and can anything be done about it? Cause % G O A. Pilot error is the most serious threat to aviation safety. Pilots could be better trained. O B. Sabotage is the most serious threat to aviation safety. Airport security could be increased. O C. Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered. O D. Weather is the most serious threat to aviation…
help please
Score: 0/6 0/6 answered Question 1 The following data represents the age of 30 lottery winners. 23 29 29 32 37 37 38 38 39 42 43 45 45 46 47 48 57 58 58 59 64 65 67 68 71 72 73 75 79 82 Complete the frequency distribution for the data. Age Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89 Question Help: Message instructor Submit Question
What is the mode? Answer as an INTEGER. If necessary, round to the nearest integer. If it is not applicable or not available, type “na” instead.
6
Among fatal plane crashes that occurred during the past 50 years, 668 were due to pilot error, 57 were due to other human error, 628 were due to weather, 449 were due to mechanical problems, and 325 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it? Cause Frequency Pilot error Other human error Weather Mechanical problems Sabotage % (Round to one decimal place as needed.) % %