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Let's say we tested the difference in math scores (percentage right on a test) between students who got intensive advising, students who got normal advising,

Let's say we tested the difference in math scores (percentage right on a test) between students who got intensive advising, students who got normal advising, and students who did not receive any advising (categorical, three groups). If the p-value is 0.12, meaning that the relationship is not statistically significant at the 0.05 level, which of the following interpretations is incorrect?

  • We do not have enough evidence to claim that there is a true relationship between the levels of advising and math scores in the population.
  • We have evidence that in the population, the mean math score for students in intensive advising is the same across levels of advising.

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