SOLUTION: Please help. I saw the question but the response to it is not available. Thanks in advance. Sixty four students in an introductory college economics class were asked how many credi

Question 132968: Please help. I saw the question but the response to it is not available. Thanks in advance. Sixty four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question, at alpha=.01, is the degree of certainty independent of credits?
Show how the degrees of freedom are calculated, find the critical value of chi-square, and interpret the p-value. Is the conclusion sensitive to the level of significance chosen?
Credits earned Very uncertain Somewhat certain Very certain Row total
0-9 12 8 3 23
10-59 8 4 10 22
60 or more 1 7 11 19
Col total 21 19 24 64

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sixty four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major.
---------------------------------
Credits earned Very uncertain Somewhat certain Very certain Row total
0-9.............12 8 3 23
10-59...........8 4 10 22
60 or more 1 7 11 19
Col total 21 19 24 64
-------------
Research question, at alpha=.01, is the degree of certainty independent of credits?
Ho: degree of certainty is independent of credits
Ha; they are dependent
-----------------------------
Show how the degrees of freedom are calculated,
df= (# or rows-1)(# of columns-1) = (3-1)(3-1) = 4
------------------------
find the critical value of chi-square
left limit=0.484 ; right limit= 11.143
--------------------
Test statistic using Chi-Sq Test on TI calculator:
Chi-Sq = 14.7638..
p-value: 0.00521...
-----------------------
and interpret the p-value.
Only 0.00521 of test results could provide stronger evidence
for rejecting Ho.
---------------------
Is the conclusion sensitive to the level of significance chosen?
Well the p-value is close to (1/2)% so Ho would be rejected even
though the level of significance is as small as 1%.
-----------------------
Cheers,
Stan H.

RELATED QUESTIONS
This is an intro to probability chapter in a book called Applied mathmatics. The book is... (answered by jim_thompson5910)

A survey of students at a university show that 45% have a job. In a random sample of 500... (answered by John10)

I see this question has already been asked, but I think it was submitted incorrectly.... (answered by stanbon)

I need to know if it is necessary to change the alpha level on the Chi-Square function in (answered by stanbon)

I don't know where to start with this one. It is in a chapter called intro to... (answered by jim_thompson5910)

Please help me with this question I am a little bit thrown off...I saw an example of it... (answered by stanbon)

Flying against the jetstream, a jet travels 4410km in 9 hours. Flying with the jetstream, (answered by ankor@dixie-net.com)

hi tutor! may you please help me with this complicated question. I already saw an answer... (answered by solver91311)

I am a Parent helping my child and need guidance to guide them. I would appreciate any... (answered by Earlsdon)