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Ken's results are shown in the accompanying feature. What conclusion is most strongly supported by these results?

a) There is a significant difference between groups
b) The results are not statistically significant
c) The study lacks internal validity
d) The sample size is too small

1 Answer

7 votes

Final answer:

The conclusion most strongly supported by Ken's results, with a significance level of 0.05, is that the results are not statistically significant, meaning there is not enough evidence to conclude there is a significant difference between the goal-scoring averages of W Division and E Division teams.

Step-by-step explanation:

The student has asked about interpreting statistical results, specifically the conclusion supported by Ken's results around goal scoring averages for W Division and E Division teams. Considering the provided information and when a level of significance is set at 0.05:

  • There is insufficient evidence to conclude that the W Division teams score more or fewer goals on average than the E teams.
  • The test to compare means may be weak, and the p-value is close to alpha, indicating caution in making conclusions about the mean differences.
  • The solutions suggest that one should not reject the null hypothesis, concluding that there is insufficient evidence for the difference in variances or mean scores.

Therefore, the conclusion that is most strongly supported by these results is that the results are not statistically significant (b).

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