What does the 'p' - value in hypothesis testing represent?

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UGC-NET Dec 2024 Library Science ( 16 Jan 2025)
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  1. The likelihood that the null hypothesis is true
  2. The probability of rejecting the null hypothesis, when it is true
  3. The strength of the correlation between variables
  4. The variance explained by the independent variable

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Option 2 : The probability of rejecting the null hypothesis, when it is true
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The Correct answer is The probability of rejecting the null hypothesis when it is true.

Key Points

  • In statistical hypothesis testing, the P-value, or probability value, measures the likelihood that a test statistic is as extreme or more extreme than the value obtained, assuming the null hypothesis is true.
  • It indicates how probable it is that the observed results occurred by chance.
  • A smaller P-value suggests stronger evidence to reject the null hypothesis.
  • In hypothesis testing, the P-value is compared to a predefined alpha level (significance level) to determine whether to reject the null hypothesis.
  • The P-value approach allows researchers to assess statistical significance and decide if the observed difference is meaningful based on the calculated probability.
  • P-values are expressed as decimals and can be converted into percentages.
  • For instance, a P-value of 0.0237 represents a 2.37% chance that the results are due to random variation.
  • Generally, a P-value less than 0.05 is considered statistically significant, indicating that the null hypothesis may be rejected.
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