A person’s educational attainment and age group was collected by the U.S. Census Bureau in 1984 to see if age group and educational attainment are related. The counts in thousands are in table D. Do the data show that educational attainment and age are independent? Test at the 5% level. Hint: Start by calculating the row and column totals.
Table #D: Educational Attainment and Age Group
Education |
Age Group |
Row Total |
||||
25-34 |
35-44 |
45-54 |
55-64 |
>64 |
||
Did not complete HS |
5416 |
5030 |
6250 |
7606 |
13700 |
38002 |
Competed HS |
17500 |
1900 |
9500 |
8795 |
7500 |
45195 |
College 1-3 years |
8600 |
6000 |
3124 |
2524 |
2500 |
22748 |
College 4 or more years |
9800 |
7500 |
3904 |
3109 |
2483 |
26796 |
Column Total |
41316 |
20430 |
22778 |
22034 |
26183 |
132741 |
Null hypothesis: Ho: educational attainment and age are independent
Alternate hypothesis: Ha: educational attainment and age are related
Degree of freedom =(row-1)*(column-1) =(4-1)*(5-1)=12
Age group |
Row total |
|||||||
Education |
25-34 |
35-44 |
45-54 |
55-64 |
>64 |
|
||
Did not complete HS |
5416 |
5030 |
6250 |
7606 |
13700 |
38002 |
||
Expected |
11828.23 |
5848.84 |
6521.041 |
6308.044 |
7495.848 |
38002 |
||
x2 |
3476.147 |
114.6379 |
11.2656 |
267.0701 |
5135.043 |
9004.163 |
||
Competed HS |
17500 |
1900 |
9500 |
8795 |
7500 |
45195 |
||
Expected |
14067.07 |
6955.905 |
7755.341 |
7502.027 |
8914.659 |
45195 |
||
x2 |
837.7741 |
3674.889 |
392.4825 |
222.8435 |
224.4908 |
5352.48 |
||
College 1-3 years |
8600 |
6000 |
3124 |
2524 |
2500 |
22748 |
||
Expected |
7080.377 |
3501.116 |
3903.496 |
3775.996 |
4487.015 |
22748 |
||
x2 |
326.1483 |
1783.552 |
155.6589 |
415.1204 |
879.9233 |
3560.403 |
||
College 4 or more years |
9800 |
7500 |
3904 |
3109 |
2483 |
26796 |
||
Expected |
8340.328 |
4124.139 |
4598.122 |
4447.933 |
5285.478 |
26796 |
||
x2 |
255.4625 |
2763.35 |
104.783 |
403.0505 |
1485.936 |
5012.583 |
||
Column Total |
41316 |
20430 |
22778 |
22034 |
26183 |
132741 |
||
Expected |
41316 |
20430 |
22778 |
22034 |
26183 |
132741 |
||
x2 |
4895.532 |
8336.429 |
664.19 |
1308.084 |
7725.393 |
22929.63 |
The chi-square for this data is thus 22929.63 and the p-value from the chi-square table is 0.0000. Since the p-value is less than alpha value; that is 0.0000 < 0.05, there is sufficient evidence to reject the null hypothesis and conclude that the educational attainment and age are related.
Prices start at $12.99 per page (275 words) for writing and $8.5 for editing and proofreading.
Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are...
Table A contains the value of the house and the amount of rental income in a year that the house brings in. Find the correla...
STAT200 Introduction to Statistics Assignment #2: Descriptive Statistics Analysis and Writeup In the first assignment (Assignm...
A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One...
The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table E&n...
Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities the dolphins partake in...
Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for the...
1. Table A, below, contains the value of the house and the amount of rental income in a year that the house brings in ("Capital an...
A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients tha...
Don't hesitate to hire one of our best essay writers.