. The result is statistically significant at .05 level of significance. There is not enough evidence to support the claim that level of educational attainment and age are NOT independent. B. The result is statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that level of educational attainment and age are NOT independent. C. The result is not statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that level of educational attainment and age are NOT independent. D. The result is not statistically significant at .05 level of significance. There is not enough evidence to support the claim that level of educational attainment and age are NOT independent
q8c
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 following table ("Education by age," 2013):
Table: 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 |
5777 |
7606 |
13746 |
37575 |
|
Competed HS |
16431 |
1855 |
9435 |
8795 |
7558 |
44074 |
|
College 1-3 years |
8555 |
5576 |
3124 |
2524 |
2503 |
22282 |
|
College 4 or more years |
9771 |
7596 |
3904 |
3109 |
2483 |
26863 |
|
Column Total |
40173 |
20057 |
22240 |
22034 |
26290 |
130794 |
Do the data show that educational attainment and age are independent? Test at the 5% level.
(vii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?
A. Accept Ho
B. Accept HA
C. Reject Ho
D. Fail to reject Ho
Enter letter corresponding to correct answer.
(viii) Select the statement that most correctly interprets the result of this test:
A. The result is statistically significant at .05 level of significance. There is not enough evidence to support the claim that level of educational attainment and age are NOT independent.
B. The result is statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that level of educational attainment and age are NOT independent.
C. The result is not statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that level of educational attainment and age are NOT independent.
D. The result is not statistically significant at .05 level of significance. There is not enough evidence to support the claim that level of educational attainment and age are NOT independent.
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