Back to the 2025 paper

Unit 4: Advanced Topics & Clustering

20252m

Type I error in hypothesis testing is
(i) Accepting null when false
(ii) Rejecting null when true
(iii) Rejecting alternative when false
(iv) Accepting alternative when true

Worked SolutionAI Assisted

Answer: (ii) Rejecting null when true

Explanation — Hypothesis Testing Errors:

Let H0H_0 = null hypothesis.

  • Type I Error (α\alpha): False Positive — reject H0H_0 when H0H_0 is actually true. P(Type I)=αP(\text{Type I}) = \alpha (significance level, e.g., 0.05). Example: Convicting an innocent person.
  • Type II Error (β\beta): False Negative — accept / fail to reject H0H_0 when H1H_1 is true (i.e., H0H_0 false). P(Type II)=βP(\text{Type II}) = \beta, Power =1−β=1-\beta. Example: Acquitting a guilty person.
  • (i) Accepting null when false → Type II
  • (ii) Rejecting null when true → Type I ✓
  • Confusion matrix mapping: Type I = FP, Type II = FN.

Hence (ii) correct.

Similar questions

Free AppAndroid App

Coursify Android App

Generate AI courses, take quick quizzes between classes, and master complex engineering concepts on the go.