How does a p-value relate to the significance level in a hypothesis test?

  • A higher p-value indicates a more significant result
  • A smaller p-value means the result is less likely to have occurred by chance
  • The p-value does not depend on the significance level
  • The p-value is the probability that the null hypothesis is true
The p-value is the probability of obtaining a result as extreme as, or more extreme than, the result actually obtained, assuming the null hypothesis is true. If the p-value is smaller than the significance level (alpha), we reject the null hypothesis.
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