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The resulting p-value from a one-way ANOVA 0.11 based on a sample of over 1000 patients. The level of significance was pre-defined to be 0.10. Which of the following is true? Select all that apply.

  1. We may have made a Type I Error
  2. We may have made a Type II Error
  3. We could have rejected the null hypothesis if we had chosen a smaller level of significance.
  4. We could have rejected the null hypothesis if we had chosen a larger level of significance.
  5. We aren't sure whether or not there really is no difference between groups with respect to the mean outcome value or whether or not our sample size was too small.
  6. We aren't sure whether or not there really is no difference between groups with respect to the mean outcome value or whether or not our sample size was too large.
  7. We rejected the null hypothesis, but perhaps we should not have.

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