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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 H_O 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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