Question
Checking to see if I did this right?? A company manufactures chocolate candies and claims that the color distribution is as follows: Color Probability Brown
Checking to see if I did this right??
A company manufactures chocolate candies and claims that the color distribution is as follows:
Color | Probability |
Brown | 12% |
Yellow | 15% |
Red | 14% |
Blue | 20% |
Orange | 21% |
Green | 18% |
A person wants to determine whether this is true. He randomly selected a bag of chocolate candies and obtains the following result:
Color | Frequency |
Brown | 62 |
Yellow | 63 |
Red | 54 |
Blue | 61 |
Orange | 96 |
Green | 64 |
Use SPSS to do the following:
- Show the observed frequencies and expected frequencies.
- At = 0.01 determine whether there is evidence that the actual color distribution is different from the claimed distribution.
Color | |||
Observed N | Expected N | Residual | |
Brown | 62 | 48.0 | 14.0 |
Yellow | 63 | 60.0 | 3.0 |
Red | 54 | 56.0 | -2.0 |
Blue | 61 | 80.0 | -19.0 |
Orange | 96 | 84.0 | 12.0 |
Green | 64 | 72.0 | -8.0 |
Total | 400 |
Test Statistics | |
Color | |
Chi-Square | 11.420a |
df | 5 |
Asymp. Sig. | .044 |
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 48.0. |
P-value = Asymp. Sig. = 0.044 > (0.01). Therefore is no evidence that the actual color distribution is different from the claimed distribution.
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