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. (iv) Are any of the expected frequency values (for which HO is true) for any cell in your table less than 5? Calculate the expected frequencies using technology, the select most correct answer: A. yes - this will not affect results of hypothesis test B. yes - this may invalidate results of hypothesis test C. no - this will not affect results of hypothesis test D. no - this may invalidate results of hypothesis test Enter letter corresponding to correct answer. Recommend using (Chi-Square Test of Independence Applet) to create contingency table of expected and observed frequency values in order to answer this question. (v) Using calculator, spreadsheet, or online calculator, determine test statistic: Enter value to nearest integer. Recommended online calculator: Chi-Square Test of Independence Applet (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
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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.
(iv) Are any of the expected frequency values (for which HO is true) for any cell in your table less than 5? Calculate the expected frequencies using technology, the select most correct answer:
A. yes - this will not affect results of hypothesis test
B. yes - this may invalidate results of hypothesis test
C. no - this will not affect results of hypothesis test
D. no - this may invalidate results of hypothesis test
Enter letter corresponding to correct answer. Recommend using (Chi-Square Test of Independence Applet) to create contingency table of expected and observed frequency values in order to answer this question.
(v) Using calculator, spreadsheet, or online calculator, determine test statistic:
Enter value to nearest integer.
Recommended online calculator: Chi-Square Test of Independence Applet
(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
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