8.3 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. (vi) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic. Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers: 0.0001 0.0021 0.0305 0.6004 0.8143 1.0000 Recommended online calculator: Chi-Square Test of Independence Applet (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.
8.3
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.
(vi) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.
Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers:
0.0001 0.0021 0.0305 0.6004 0.8143 1.0000
Recommended online calculator: Chi-Square Test of Independence Applet
(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.
Enter letter corresponding to most correct answer
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