Time remaining:
Goodness To Fit Test

Statistics
Tutor: None Selected Time limit: 0 Hours

Below are the numbers of people buying seven types of products in two schools:

First school: 15, 20, 18, 30, 22, 25, 24

Second school: 16, 14, 18, 20, 22, 25, 24

Test whether the buying of products are independent from the school.
Apr 22nd, 2015

get the percent distribution of the two schools:

1st     2nd

10       12

13       10

12       13

19       14

14       16

16       18

16        17

Use Chi^2 to test if the distribution are the same.

Num Categories:      7

Degrees of freedom:  6

Test Statistic, X^2: 3.6270

Critical X^2:        12.59157

P-Value:             0.7270

This was done using StatDisk. I treated 1st col as the observed frequency and the second as the expected frequency

Conclusion: Fail to reject the hypothesis that the buying of products are independent from the school.

Apr 22nd, 2015

Sorry,need to revise.Construct a 2 x 7 contingency table of observed and expected frequencies:

1st school   15 20   18 30   22 25   24   154
2nd school   16 14   18 20   22 25   24   139
  31   34   36   50   44   50   48   293
EXPECTED FREQUENCIES        
1st school   16.29   17.87   18.92   26.28   23.13   26.28   25.23   154.00
2nd school   14.71   16.13   17.08   23.72   20.87   23.72   22.77   139.00
           
(O-E)^2/E   0.10   0.25   0.04   0.53   0.05   0.06   0.06  
  0.11   0.28   0.05   0.58   0.06   0.07   0.07  
               
Chi^2 =   2.33              
p-value 0.887065           C.V. 12.59159
Fail to reject  the hypothesis that the buying of products are independent from the schoo

Apr 22nd, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Apr 22nd, 2015
...
Apr 22nd, 2015
Dec 4th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer