Q74: Probability of accepting Null hypothesis Ho when itis false is... - Statistical Methods II - Agricultural Statistics- ICAR JRF/SRF 2024 | Agrigyan

• Type I and Type II Errors in Hypothesis Testing:
• Type I Error ($\alpha$): Probability of rejecting the null hypothesis ($H_0$) when $H_0$ is actually true (producer's risk or false positive).
• Type II Error ($\beta$): Probability of accepting (failing to reject) the null hypothesis ($H_0$) when $H_0$ is false (consumer's risk or false negative).
• Power of a Test: The probability of correctly rejecting a false null hypothesis, defined as $1 - \beta$.
• Critical Region: The set of sample outcomes for which the null hypothesis is rejected.
• Conclusion: Probability of accepting $H_0$ when it is false is Type II error (Option 4).

Correct option: (4) Type Il error