
Finding Critical Regions (Binomial Distribution)
Authored by J Pearce
Mathematics
11th - 12th Grade
Used 17+ times

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16 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 5% significance level. The probability has to be under 5%. Find the critical region.
X~B(20, 0.5), H0 : p=0.5, H1 : p<0.5
X ≤ 5
X ≤ 4
X ≤ 6
X ≤ 3
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 5% significance level. The probability has to be under 5%. Find the critical region.
X~B(30, 0.4), H0 : p=0.4, H1 : p<0.4
X ≤ 5
X ≤ 6
X ≤ 7
X ≤ 8
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 5% significance level. The probability has to be under 5%. Find the critical region.
X~B(50, 0.2), H0 : p=0.2, H1 : p<0.2
X ≤ 4
X ≤ 5
X ≤ 6
X ≤ 7
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 5% significance level. The probability has to be under 5%. Find the critical region.
X~B(40, 0.1), H0 : p=0.1, H1 : p<0.1
X = 0
X ≤ 1
X ≤ 2
X ≤ 3
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 5% significance level. The probability has to be under 5%. Find the critical region.
X~B(105, 0.24), H0 : p=0.24, H1 : p<0.24
X ≤ 15
X ≤ 16
X ≤ 17
X ≤ 18
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 10% significance level. The probability has to be under 10%. Find the critical region.
X~B(15, 0.4), H0 : p=0.4, H1 : p<0.4
X ≤ 4
X ≤ 1
X ≤ 2
X ≤ 3
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A one-tailed test at the 2% significance level. The probability has to be under 2%. Find the critical region.
X~B(40, 0.25), H0 : p=0.25, H1 : p<0.25
X ≤ 3
X ≤ 4
X ≤ 5
X ≤ 6
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