Lesson S5.2.1
S5.2.1 Hypothesis test for the binomial proportion Quiz: Pearson Edexcel Maths, Unit 15
20 questions
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Lesson S5.2.1, Hypothesis test for the binomial proportion: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 15: Statistical hypothesis testing, written with Revision Ninja.
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The 20 questions
-
What is the standard notation for the null hypothesis in a binomial test?
- H_0
- H_a
- H_1
- H_p
-
What is the standard notation for the alternative hypothesis?
- H_t
- H_n
- H_0
- H_1
-
What type of alternative hypothesis is tested if the direction is not specified?
- Two-tailed
- Left-tailed
- One-tailed
- Right-tailed
-
What type of alternative hypothesis is used when testing for an increase?
- One-tailed
- Zero-tailed
- Bi-tailed
- Two-tailed
-
What name is given to the probability of rejecting H_0 when it is true?
- Power
- Critical value
- Significance level
- P-value
-
What letter usually represents the significance level in hypothesis testing?
- beta
- n
- alpha
- p
-
What region contains all test statistic values that lead to rejecting H_0?
- Critical region
- Confidence interval
- Sample space
- Acceptance region
-
What value separates the critical region from the acceptance region?
- Critical value
- Parameter
- Test statistic
- P-value
-
If X follows B(20, 0.3), what is the correct null model parameter for p?
- 0.3
- 0.7
- 6
- 20
-
For X ~ B(50, 0.2), what is the expected value under the null hypothesis?
- 0.2
- 50
- 10
- 20
-
When finding a upper-tail p-value for X = 12 in B(30, 0.4), which probability is calculated?
- P(X >= 12)
- P(X <= 12)
- P(X = 12)
- P(X > 12)
-
When finding a lower-tail p-value for X = 5 in B(40, 0.2), which probability is calculated?
- P(X <= 5)
- P(X >= 5)
- P(X < 5)
- P(X = 5)
-
If a 5% significance level is used in a two-tailed test, what tail probability is checked?
- 10%
- 5%
- 2.5%
- 1%
-
A calculated p-value is 0.034 and alpha is 0.05. What is the correct statistical decision?
- Retain H_0
- Reject H_0
- Accept H_0
- Do nothing
-
A calculated p-value is 0.082 and alpha is 0.05. What is the correct conclusion?
- Accept H_0
- Reject H_1
- Reject H_0
- Accept H_1
-
What is the probability of a Type II error usually denoted by?
- alpha
- beta
- p
- q
-
Finding 4 successes when X ~ B(20, 0.4) gives P(X <= 4) = 0.0510. At 5% significance, do we reject H_0?
- Always
- Maybe
- No
- Yes
-
Finding 3 successes when X ~ B(20, 0.4) gives P(X <= 3) = 0.0160. At 5% significance, do we reject H_0?
- Never
- Maybe
- Yes
- No
-
What must be constant for a binomial distribution to be a valid model in a test?
- Probability p
- Significance level
- Sample size
- Test statistic
-
What condition must be independently checked for trials in a binomial hypothesis test?
- Negative trials
- Varying probability
- Continuous outcomes
- Fixed probability
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