PEA 2026 PEA Q11 | ISI MSQE

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2026 PEA Q11

Given sample size $n$ , reducing the significance level $\alpha$

Reveal answer and solution

Answer

Solution

1
By definition $\alpha = P(\text{Type I})$ , so smaller $\alpha$ means fewer Type I
2
errors. For a fixed $n$ , the rejection region shrinks, increasing the probability
3
of failing to reject the null when it is false, i.e.\ Type II error $\beta$ rises
4
and power $1-\beta$ falls.

Answer structure / marking notes

Power can only be raised (for fixed effect size) by increasing $n$ or $\alpha$ .

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Content note

Imported from public/resources/isi/msqe/solutions/pea/2026/ISI_MSQE_PEA_2026_Solutions.tex. Question wording is retained from the available local TeX source; incomplete option blocks or ambiguous source status are flagged for review.