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Mathematics Worksheet
🔬 Hypothesis Testing
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Compare a p-value to the significance level α.Decide whether to reject the null hypothesis.Identify a Type I error.Understand the effect of changing α.🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1If p-value = 0.03 and α = 0.05, do we reject H0?
2If p-value = 0.5 and α = 0.01, do we reject H0?
3A Type I error is:
4Lowering α from 0.05 to 0.01 makes rejecting H0:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5We reject H0 when the p-value is than α.
6A Type error is rejecting a true null hypothesis.
7If p-value = 0.03 and α = 0.05, do we reject H0?
8If p-value = 0.5 and α = 0.01, do we reject H0?
9What is a Type I error?
🚀 Section C · Challenge ● CHALLENGE 5
10If α = 0.01 instead of 0.05, is it harder or easier to reject H0?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-B 3-A 4-A | 5 less 6 I 7 = Yes, since 0.03 < 0.05 8 = No, since 0.5 > 0.01 9 = Rejecting a true null hypothesis (a false alarm) | 10 = Harder