Final answer:
To determine if the data supports Charles and Nikki's hypothesis, one must compare the observed data to the theoretical distribution, using statistical tests to assess the goodness-of-fit. If the data closely matches the theoretical predictions, it suggests support for the hypothesis.
Step-by-step explanation:
The determination of whether Charles and Nikki's hypothesis is supported by the data can be drawn from a comparison between the collected data and the theoretical distribution. Support for the hypothesis would typically be seen if there is a strong alignment between the data trends and the expected theoretical outcomes. In scientific research, using statistical evidence, it is possible to either accept or reject the null hypothesis based on whether the sample data closely approximates the theoretical distribution expected under the null hypothesis.
When analyzing whether the data supports a given hypothesis, one common approach is to employ statistical hypothesis testing. This involves comparing observed data to theoretical models to determine closeness of fit. If the data closely approximates the theoretical distribution, one may argue that there is support for the hypothesis. Conversely, if the data significantly deviates from the theoretical expectation, it might suggest the hypothesis is not supported.
In the scenario at hand, it would be necessary to look at figures, tables, or statistical measures of fit, such as Chi-square or goodness-of-fit tests to make a judgment on the hypothesis. These tools help in determining how well the sample data confirms or denies the expectations elaborated by the hypothesis and the theoretical distribution.
Furthermore, it is critical to consider the possibility of other interpretations of the data, to avoid bias and to ensure a robust examination of the evidence. If the hypothesis stated is too narrow, the data might support an alternative distribution, suggesting the need for a broader lens when examining the results. Thus, in analyzing the supportive evidence, one must carefully consider all possible explanations and remain objective in their conclusions.