Question
In: Statistics and Probability
Utilizing the data shown in the contingency table 1 below, determine whether the relationship between types...
- Utilizing the data shown in the contingency table 1 below, determine whether the relationship between types of residential area and gun ownership is statistically significant. Once you have arrived at an answer for each question, please write a sentence or two interpreting the results, you may want to round the decimals to the nearest whole number (70 pts.).
-
- What are the alternative and null hypotheses (5pts)?
-
- Calculate the total column percentages (10pts.)
-
Gun Ownership
Types of Residential Area
Rural
Town
City
Total
Own Gun
218
206
131
555
( %)
No Gun
375
379
235
989
( %)
Total
593
585
366
1544
( %)
-
- Calculate the expected frequency for each cell and explain the meaning of expected frequencies (15 pts).
-
Gun Ownership
Types of Residential Area
Rural
Town
City
Total
Own Gun
555
No Gun
989
Total
593
585
366
1544
-
- Calculate chi-square (χ 2) for each cell using to the formula (Oi − Ei )2/ Ei (15pt).
-
Gun Ownership
Types of Residential Area
Rural
Town
City
Total
Own Gun
No Gun
Total
Solutions
Expert Solution
a) Null and alternative hypothesis:
Ho: Types of residential area and gun ownership are independent.
Ha: Types of residential area and gun ownership are dependent.
b) Percentage:
555/1544 *100 = 35.95%
989/1544 *100 = 64.05%
1544/1544*100 = 100%
c) Expected frequencies:
| Expected Frequencies | ||||
| Rural | Town | City | Total | |
| Own Gun | 593 * 555 / 1544 = 213.1574 | 585 * 555 / 1544 = 210.2817 | 366 * 555 / 1544 = 131.5609 | 555 |
| No Gun | 593 * 989 / 1544 = 379.8426 | 585 * 989 / 1544 = 374.7183 | 366 * 989 / 1544 = 234.4391 | 989 |
| Total | 593 | 585 | 366 | 1544 |
d)
| (fo-fe)²/fe | |||
| Own Gun | (218 - 213.1574)²/213.1574 = 0.11 | (206-210.2817)²/210.2817= 0.0872 | (131-131.5609)²/131.5609 = 0.0024 |
| No Gun | (375-379.8426)²/379.8426= 0.0617 | (379-374.7183)²/374.7183= 0.0489 | (235-234.4391)²/234.4391 = 0.0013 |
Test statistic:
χ² = ∑ ((fo-fe)²/fe) = 0.3116
df = (r-1)(c-1) = 2
p-value = CHISQ.DIST.RT(0.3116, 2) = 0.8557
Decision:
p-value > α, Do not reject the null hypothesis.
orchestra answered 2 years agoRelated Solutions
Utilizing the data shown in the contingency table 1 below, determine whether the relationship between types...
Utilizing the data shown in the contingency table 1 below,
determine whether the relationship between types of residential
area and gun ownership is statistically significant. Once you have
arrived at an answer for each question, please write a sentence or
two interpreting the results, you may want to round
the decimals to the nearest whole number (70 pts.).
What are the alternative and null hypotheses (5pts)?
Calculate the total column percentages (10pts.)
Gun Ownership
Types of Residential Area
Rural
Town...
Utilizing the data shown in the contingency table 1 below, determine whether the relationship between types...
Utilizing the data shown in the contingency table 1 below,
determine whether the relationship between types of residential
area and gun ownership is statistically significant. Once you have
arrived at an answer for each question, please write a sentence or
two interpreting the results, you may want to round
the decimals to the nearest whole number (70 pts.).
Gun Ownership
Types of Residential Area
Rural
Town
City
Total
Own Gun
218
206
131
555
(
%)
No Gun
375
379...
The following contingency table represents the relationship between the age of a young adult and the...
The following contingency table represents the
relationship between the age of a young adult and the type of movie
preference
18-23
yr 24-29 yr 30-35
yr
Science Fiction 14 9 8
Comedy 7 10 12
At the 0.05 level of significance, test the claim that
the adult age and movie preference are independent (no
relationship).
H0:
H1:
Test Statistic:
Critical Region/Critical Value:
Decision about H0:
The following data in the table below represents the relationship between the number of workers and...
The following data in the table below represents the
relationship between the number of workers and their outputs in a
company for a given day in the short-run:
Workers
Output
P
Marginal Product
MP
Variable Cost
VC
Fixed Cost
FC
Total Cost
TC
Average Variable Cost
AVC
Average Fixed Cost
AFC
Average Total Cost
TC
Marginal Cost
MC
0
0
0
1
12
2
2
21
6
3
27
12
4
30
35
5
32
80
6
33
160
1- ...
The following data in the table below represents the relationship between the number of workers and...
The following data in the table below represents the
relationship between the number of workers and their outputs in a
company for a given day in the short-run:
Workers
Output
P
Marginal Product
MP
Variable Cost
VC
Fixed Cost
FC
Total Cost
TC
Average Variable Cost
AVC
Average Fixed Cost
AFC
Average Total Cost
TC
Marginal Cost
MC
0
0
0
1
12
2
2
21
6
3
27
12
4
30
35
5
32
80
6
33
160
Q1...
1.A study was done to determine whether there is a relationship between snoring and the risk...
1.A study was done to determine whether there is a relationship
between snoring and the risk of heart disease. Among 1,105 snorers
in the study, 86 had heart disease, while only 29 of 1,379
nonsnorers had heart disease.
(a)Determine a 95% confidence interval that estimates
p1 − p2 =
difference in proportions of snorers and nonsnorers who have heart
disease. (Let p1 be the proportion of
snorers and p2be the proportion of
nonsnorers. Round your answers to three decimal places.)...
1. Below is a contingency table for the certain majors and the number of hours studied...
1. Below is a contingency table for the certain majors and the
number of hours studied for
each major. The expected values are given in parentheses.
Rows: Hours/week
humanities
social science
business
engineering
total
0-10
68
(88.67)
106
(90.05)
131
(106.6)
40
(59.69)
345
11-20
119
(110.5)
103
(112.2)
127
(132.9)
81
(74.39)
430
>20
70
(57.83)
52
(58.73)
51
(69.53)
52
(38.93)
225
total
257
261
309
173
1000
Chi-Square test for independence:
measure
DF
value
p-value
Chi-Square
6...
We seek to determine whether or not there is a relationship between gender and preference for...
We
seek to determine whether or not there is a relationship between
gender and preference for ice
cream flavor. My
data come from a hypothetical survey of 920 people that asked for
their preference of 1 of the above
3
ice cream flavors. Here are the data:
Flavor
Chocolate
Vanilla
Strawberry
Total
Gender
Men
100
120
60
280
Women
350
200
90
640
Total
450
320
150
920
a. State the
Null and Alternative hypotheses. (2)
b. Assuming
the Null Hypothesis is correct, find...
We seek to determine whether or not there is a relationship between gender and preference for...
We seek to determine whether or not there is a relationship
between gender and preference for ice cream flavor. My data come
from a hypothetical survey of 920 people that asked for their
preference of 1 of the above 3 ice cream flavors. Here are the
data:
Flavor
Gender Chocolate Vanilla Strawberry Total
Men 100 120 60 280
Women 350 200 90 640
Total 450 320 150 920
a. State the Null and Alternative hypotheses.
b. Assuming the Null Hypothesis...
1. From the data shown in the table below about demand for smart phones, calculate the...
1. From the data shown in the table below about demand for smart
phones, calculate the price elasticity of demand (using the arc
method) from: 1.1. Point B to point C 1.2. Point D to
point E 1.3. Point G to point H Classify the
elasticity at each point as elastic, inelastic or unit elastic.
Points P Q A 60 3,000 B 70 2,800 C 80 2,600 D 90 2,400 E 100 2,200
F 110 2,000 G 120 1,800 H...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Suppose a company is looking to hedge a risk in the derivatives market. What, fundamentally, is...
- Training and Development assignment. Describe the usage of Computer Based Training (CBT) in McDonald's Company training...
- PUT IN JAVA PROGRAMMING LANGUAGE The Rectangle class: Design a class named Rectangle to represent a...
- Journal article summary on inter-group conflict Peer Reviewed Journal article from past 3 years. Please include...
- "Ethical Considerations" Please respond to the following: Reflect upon the responsibilities placed on auditors by the...
- A Japanese company has a bond outstanding that sells for 93 percent of its ¥100,000 par...
- What is the difference among the principles of modularization, abstraction, encapsulation, and separation of interface and...
ADVERTISEMENT