Inferential statistics interpretation – UGC NET Question

Statement D is wrong because a p-value does not directly give the probability that the null hypothesis is true; it is the probability of obtaining results as extreme as those observed, assuming the null is true. Statements A, B, C and E are correct: inferential methods generalise from samples, significance depends on several factors, confidence intervals express plausible parameter ranges and context plus effect size are vital for interpretation. Thus, only D is the incorrect statement.

Option A:
Option A is incorrect because it also labels A as wrong, despite A correctly explaining the purpose of inferential statistics. Disputing A blurs the distinction between sample-level and population-level reasoning.

Option B:
Option B is correct because it isolates D as the single misinterpretation, while implicitly confirming the other statements as accurate. It emphasises that the p-value is often misunderstood and must be interpreted cautiously.

Option C:
Option C is wrong because it treats C, which accurately describes confidence intervals, as wrong along with D. This misrepresents a core concept in inferential statistics.

Option D:
Option D is incorrect because it declares B and E wrong along with D, even though both B and E reflect best practice for interpreting statistical results by considering multiple determinants and substantive meaning.