Is the length of time of unemployment related to the type of industry? A random sample of unemployed workers from three different work sectors yielded the following data. Perform a hypothesis test at 0.01 level of significance to determine if there is a relationship. Less than 5 weeks 5-14 weeks 15-26 weeks Transportation 89 114 81 Information 58 70 55 Financial 81 113 112 What are the expected numbers? (round to 3 decimal places) Less than 5 weeks 5-14 weeks 15-26 weeks Transportation Information Financial The hypotheses are Họ: The length of unemployment is independent of the type of industry. HA: The length of unemployment is dependent of the type of industry. (claim) Since a = 0.01 the critical value is 13.277 The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places) So the decision is to O eject Ho O do not reject Ho Thus the final conclusion is O There is enough evidence to support the claim that the length of unemployment is dependent of the type of industry. O There is not enough evidence to support the claim that the length of unemployment is dependent of the type of industry. O There is not enough evidence to reject the claim that the length of unemployment is dependent of the type of industry. O There is enough evidence to reject the claim that the length of unemployment is dependent of the type of industry.
Is the length of time of unemployment related to the type of industry? A random sample of unemployed workers from three different work sectors yielded the following data. Perform a hypothesis test at 0.01 level of significance to determine if there is a relationship. Less than 5 weeks 5-14 weeks 15-26 weeks Transportation 89 114 81 Information 58 70 55 Financial 81 113 112 What are the expected numbers? (round to 3 decimal places) Less than 5 weeks 5-14 weeks 15-26 weeks Transportation Information Financial The hypotheses are Họ: The length of unemployment is independent of the type of industry. HA: The length of unemployment is dependent of the type of industry. (claim) Since a = 0.01 the critical value is 13.277 The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places) So the decision is to O eject Ho O do not reject Ho Thus the final conclusion is O There is enough evidence to support the claim that the length of unemployment is dependent of the type of industry. O There is not enough evidence to support the claim that the length of unemployment is dependent of the type of industry. O There is not enough evidence to reject the claim that the length of unemployment is dependent of the type of industry. O There is enough evidence to reject the claim that the length of unemployment is dependent of the type of industry.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
6
Transcribed Image Text:Is the length of time of unemployment related to the type of industry? A random sample of unemployed
workers from three different work sectors yielded the following data. Perform a hypothesis test at 0.01
level of significance to determine if there is a relationship.
Less than 5 weeks
5-14 weeks
15-26 weeks
Transportation
89
114
81
Information
58
70
55
Financial
81
113
112
What are the expected numbers? (round to 3 decimal places)
Less than 5 weeks
5-14 weeks
15-26 weeks
Transportation
Information
Financial
The hypotheses are
Ho: The length
unemployment is independent
the type of industry.
HA: The length of unemployment is dependent of the type of industry. (claim)
Since a = 0.01 the critical value is 13.277
The test value is:
(round to 3 decimal places)
The p-value is
(round to 3 decimal places)
So the decision is to
O reject Ho
O do not reject Ho
Thus the final conclusion is
O There is enough evidence to support the claim that the length of unemployment is dependent of the
type of industry.
O There is not enough evidence to support the claim that the length of unemployment is dependent of
the type of industry.
O There is not enough evidence to reject the claim that the length of unemployment is dependent of
the type of industry.
O There is enough evidence to reject the claim that the length of unemployment is dependent of the
type of industry.
Expert Solution
Step 1
| Less than 5 Weeks | 5-14 weeks | 15-26 weeks | Total | |
| Transportation | 89 | 114 | 81 | 284 |
| Information | 58 | 70 | 55 | 183 |
| Financial | 81 | 113 | 112 | 306 |
| Total | 228 | 297 | 248 | 773 |
Expected value of a cell =
Example ( E(Transportation , less than 5 weeks) = = 83.767
Similarly for others
df = (# rows -1 ) (# column - 1)
= (3-1)(3-1) = 4
====================================
.png)
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON