Based on the information provided, the p-value of 0.274 indicates the probability of observing the data, or more extreme data, assuming that the null hypothesis is true. In this case, the null hypothesis would be that there is no difference in bitterness between the current dark chocolate candy on the market and the new dark chocolate candy developed by the chocolatier.
Here are the steps to interpret the p-value and draw a conclusion:
1. Interpret the p-value:
- A p-value of 0.274 is greater than the commonly used significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis at the 0.05 significance level.
- The higher the p-value, the weaker the evidence against the null hypothesis. In this case, a p-value of 0.274 suggests that the data is consistent with the null hypothesis.
2. Conclusion:
- Since the p-value is greater than 0.05, the chocolatier fails to reject the null hypothesis.
- The best conclusion for the chocolatier’s hypothesis test would be that there is not enough statistical evidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolate candy on the market.
3. Implications:
- The chocolatier's hypothesis that the new dark chocolate candy would be less bitter has not been supported by the data collected from the taste testers.
- Further research or different experimental approaches may be needed to determine if there is a significant difference in bitterness between the two types of dark chocolate candies.
In conclusion, based on the p-value of 0.274, the chocolatier should not conclude that the new dark chocolate candy is less bitter than the current dark chocolate candy on the market, as the evidence does not support this claim.Answer:
Step-by-step explanation:
