Question
In: Math
The following data represent the level of health and the level of education for a random...
The following data represent the level of health and the level of
education for a random sample of 1630 residents.
Excellent Good Fair Poor
Not a H.S. graduate 114 184 106 126
H.S. graduate 75 120 82 94
Some college 110 154 102 107
Bachelor Degree or higher 121 156 85 133
A. Calculate the Chi Square test statistic (Round to three decimal places)
B. Give the P Value (Round to three decimal places)
C. Make a proper conclusion
Reject Ho. There is sufficient evidence that education and health are dependent.
Fail to reject Ho. There is sufficient evidence that education and health are dependent.
Reject Ho. There is not sufficient evidence that education and health are dependent.
Fail to reject Ho. There is not sufficient evidence that education and health are dependent.
Solutions
Expert Solution
The null and alternative hypothesis is
H0: Education and health are independent.
H1: Education and health are dependent.
Level of significance = 0.05
Test statistic is
O: Observed frequency
E: Expected frequency.
E = ( Row total*Column total) / Grand total
| Excellent | Good | Fair | Poor | Total | |
| Not a H.S. graduate | 114 | 184 | 106 | 126 | 530 |
| H.S. graduate | 75 | 120 | 82 | 94 | 371 |
| Some college | 110 | 154 | 102 | 107 | 473 |
| Bachelor | 121 | 156 | 85 | 133 | 495 |
| Total | 420 | 614 | 375 | 460 | 1869 |
| O | E | (O-E) | (O-E)^2 | (O-E)^2/E |
| 114 | 119.1011 | -5.10112 | 26.02146 | 0.218482 |
| 184 | 174.1145 | 9.8855 | 97.72312 | 0.561258 |
| 106 | 106.3403 | -0.34029 | 0.115797 | 0.001089 |
| 126 | 130.4441 | -4.44409 | 19.74992 | 0.151405 |
| 75 | 83.37079 | -8.37079 | 70.07007 | 0.840463 |
| 120 | 121.8801 | -1.88015 | 3.534963 | 0.029004 |
| 82 | 74.4382 | 7.561798 | 57.18079 | 0.768165 |
| 94 | 91.31086 | 2.689139 | 7.231466 | 0.079196 |
| 110 | 106.2921 | 3.707865 | 13.74826 | 0.129344 |
| 154 | 155.389 | -1.38898 | 1.92926 | 0.012416 |
| 102 | 94.90369 | 7.096308 | 50.35759 | 0.530618 |
| 107 | 116.4152 | -9.4152 | 88.6459 | 0.761463 |
| 121 | 111.236 | 9.764045 | 95.33657 | 0.857066 |
| 156 | 162.6164 | -6.61637 | 43.77638 | 0.2692 |
| 85 | 99.31782 | -14.3178 | 204.9999 | 2.06408 |
| 133 | 121.8299 | 11.17014 | 124.7721 | 1.024151 |
| Total | 8.30 |
A.
B. Degrees of freedom = 16 - 1 = 15
P-value = P(
) = 0.9113
c) P-value >0.05 we fail to reject null hypothesis.
Fail to reject Ho. There is not sufficient evidence that education and health are dependent.
milcah answered 5 months agoRelated Solutions
The following data represent the level of health and the level of education for a random...
The following data represent the level of health and the level
of education for a random sample of 1504 residents. Complete parts
(a) and (b) below. Education Excellent Good Fair Poor Not a H.S.
graduate 89 151 52 112 H.S. graduate 86 101 53 100 Some college 81
132 66 108 Bachelor Degree or higher 58 147 60 108 (a) Does the
sample evidence suggest that level of education and health are
independent at the alphaequals0.05 level of significance? Conduct...
The following data represent the level of health and the level of education for a random...
The following data represent the level of health and the level
of education for a random sample of 1504 residents. Complete parts
(a) and (b) below. Education Excellent Good Fair Poor Not a H.S.
graduate 89 151 52 112 H.S. graduate 86 101 53 100 Some college 81
132 66 108 Bachelor Degree or higher 58 147 60 108 (a) Does the
sample evidence suggest that level of education and health are
independent at the alphaequals0.05 level of significance? Conduct...
The following data represent the level of health and the level of education for a random...
The following data represent the level of health
and the level of education for a random sample of 1815
residents.
Education
Excellent
Good
Fair
Poor
Not a H.S. graduate
105
148
105
116
H.S. graduate
118
129
110
119
Some college
116
146
117
124
Bachelor Degree or higher
68
142
59
93
Make the proper conclusion. Choose the correct answer below.
A. Fail to reject H0. There is sufficient evidence that level of
education and health are associated.
B....
The following data represent the highest level of education and belief in Heaven for a random...
The following data represent the highest level of education and
belief in Heaven for a random sample of adult Americans.
Yes, definitely
Yes, probably
No, probably not
No, definitely not
Total
Less than high school
316
66
21
9
412
High school
956
296
122
65
1439
Bachelor’s
267
131
62
64
524
Total
1539
493
205
138
2375
Construct a relative frequency marginal distribution.
What proportion of adult Americans in the survey definitely
believe in Heaven?
Construct a conditional...
1) The following data represent the level of happiness and level of health for a random...
1)
The following data represent the level of happiness and level of
health for a random sample of individuals from the General Social
Survey. A researcher wants to determine if health and happiness
level are related. Use the αα = 0.05 level of significance to test
the claim.
Health
Excellent
Good
Fair
Poor
Very Happy
271
261
82
20
Pretty Happy
247
567
231
53
Not Too Happy
33
103
92
36
*Source: General Social Survey
1) Determine the null...
The following data represent the level of happiness and level of health for a random sample...
The following data represent the level of happiness and level of
health for a random sample of individuals from the General Social
Survey. A researcher wants to determine if health and happiness
level are related. Use the αα = 0.05 level of significance to test
the claim.
Health
Excellent
Good
Fair
Poor
Very Happy
271
261
82
20
Pretty Happy
247
567
231
53
Not Too Happy
33
103
92
36
*Source: General Social Survey
1) Determine the null and...
The data table represent the level of happiness and level of health for a random sample...
The data table represent the level of happiness and level of
health for a random sample of individual from the General Social
Survey. Does the evidence suggest that health and happiness are
related at the α = 0.05 significance level? Health Happiness
Excellent Good Fair Poor Very happy 271 261 82 20 Pretty happy 247
567 231 53 Not too happy 33 103 92 36 a) Circle the Type of Test
that should be performed: 2-Propotion, Z-test Difference of 2...
The following data represent the smoking status by level of education for people 18 years old...
The following data represent the smoking status by level of
education for people 18 years old or older.
Smoking Status
Number of Years of Education current former never
<12 159 98 196
12 148 81 150
13-15 44 29 33
16 or more 32 26 40
Test whether smoking status and level of education are
independent.
a. What is the expected value of the number of Former smokers
and 13-15 Years of Education, if we assume that the two...
The following data represent the battery life, in hours, for a random sample of ten full...
The following data represent the battery life, in hours, for a
random sample of ten full charges on ipod music player.
7.3 10.2 12.9 10.8 12.1 6.6 10.2 9.0 8.5 7.1
a) construct a 90% confidence interval for the mean number of
hours the battery will last on this player.
b) Suppose you wanted more accuracy. What can be done to
increase the accuracy of the interval without changing the level of
confidence?
thank you.
The following data represent the pH of rain for a random sample of 12 rain dates....
The following data represent the pH of rain for a random sample
of 12 rain dates. A normal probability plot suggests the data could
come from a population that is normally distributed. A boxplot
indicates there are no outliers. Complete parts (a) through (d)
below. 5.30 5.72 4.99 4.80 5.02 4.57 4.74 5.19 5.29 4.76 4.56 4.91
(a) Determine a point estimate for the population mean. A point
estimate for the population mean is nothing. (Round to two decimal
places...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- TASK back to top In the contemporary management environment, mergers and acquisitions are hot topics; particularly...
- A room with 2.7-m-high ceilings has a metal plate on the floor with V = 0V...
- which of the following statements are true? a) the same nuclear changes (creation/destruction of specific nucleons)...
- Overview: Advances in technology have impacted many facets of the auditing process, from assessing risk and...
- Background: This course is all about data visualization. However, we must first have some understanding about...
- A rescue helicopter lifts a 70.6-kg person straight up by means of a cable. The person...
- Dolomite, [CaMg(CO3)2] is found in a soil sample. A geochemist titrates 24.65 g of soil with...
ADVERTISEMENT