Question
A chocolate company wishes to know if its consumers prefer dark chocolate or milk chocolate. They...
A chocolate company wishes to know if its consumers prefer dark chocolate or milk chocolate. They survey 16 individuals with the following results:
3 preferred milk chocolate
5 had no preference
8 preferred dark chocolate
Is there a significant preference overall?
Homework Answers
Answer #1
H0: Null Hypothesis: There is no significant preference overall
HA: Alternative Hypothesis: There is a significant preference overall (Claim)
Test Statistic (
)
is got as follows:
| Observed (O) | Expected (E) | (O -E)2/E |
| 3 | 5.3333 | 1.0208 |
| 5 | 5.3333 | 0.0208 |
| 8 | 5.3333 | 1.3334 |
| Total =
= |
2.2750 |
Degrees of freedom = 3 -1 = 2
By Technology, p - value = 0.3050
Since p - value= 0.3050 is greater than 
= 0.05, the difference is not significant. Fail to reject null
hypothesis.
Conclusion:
The data do not support the claim that there is a significant
preference overall.
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