Question 191424: Can you help me solve this?
In a survey of full-time college students, 400 out of 700 memers of a fraternity reported that they held a part-time job. Of 800 non-fraternity, 490 stated that they held a part-time job. Does the data support the belief that fewer fraternity members hold part-time jobs than non-fraternity members. Use a 0.05 level of significance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a survey of full-time college students, 400 out of 700 memers of a fraternity reported that they held a part-time job. Of 800 non-fraternity, 490 stated that they held a part-time job. Does the data support the belief that fewer fraternity members hold part-time jobs than non-fraternity members. Use a 0.05 level of significance.
-------------------
Ho: p'(frat)-p'(non-frat) = 0
Ha: p'(frat)-p'(non-frat) < 0 (Claim)
-------------
I ran a 2-Prop Z-test and got the following:
test stat: z = -1.6156
p-value: P(z < -1.6156) = 0.05310
-------------
Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
The claim is not supported by these test results.
=====================================================
Cheers,
Stan H.
|
|
|
