STAT.MATH.6.H

Explain the meaning of the p-value in relation to the significance level in providing evidence to reject or fail to reject the null hypothesis in the context of the situation.

Statistics · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
p-valuesignificance levelevidencenull hypothesiscontextsituation
Skills
  • explain (the meaning of p-value in relation to the significance level) #dok2
  • relate (p-value and significance level to decision making in hypothesis testing) #dok3
  • justify (rejecting or failing to reject the null hypothesis using p-value and significance level) #dok3
  • interpret (statistical results in the context of a situation based on p-value and significance level) #dok3
Learning Targets
  • I can define the terms p-value and significance level. #dok1
  • I can recall the possible outcomes of a hypothesis test (reject or fail to reject the null hypothesis). #dok1
  • I can explain the meaning of a p-value and a significance level in a hypothesis test. #dok2
  • I can explain how the p-value and significance level are used to provide evidence to reject or fail to reject a null hypothesis. #dok2
  • I can justify a statistical decision of rejecting or failing to reject the null hypothesis based on the relationship between the p-value and significance level in the context of a problem. #dok3
  • I can interpret the p-value and significance level to explain what the hypothesis test result means for the situation. #dok3
Big Ideas
  • The p-value and significance level provide a rule for making decisions in hypothesis testing.
  • The context of a situation affects the interpretation of statistical results such as p-values and decisions about the null hypothesis.
Essential Questions
  • What do the p-value and significance level represent in a hypothesis test?
  • How do you decide whether to reject or fail to reject the null hypothesis based on the p-value and significance level?
  • Why is it important to interpret the results of a hypothesis test in context?
  • How can a p-value provide evidence for or against a claim in real-world situations?
  • What happens if the p-value is less than the significance level? What if it is greater?