Lesson 2.05a
2.05a The language of hypothesis testing Quiz: OCR Maths, Unit 15
20 questions
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Lesson 2.05a, The language of hypothesis testing: 20 multiple choice questions for the OCR Maths (H240), Unit 15: Statistical Hypothesis Testing, written with Revision Ninja.
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The 20 questions
-
Which symbol is used to represent the null hypothesis in statistical tests?
- H0
- H1
- H2
- HA
-
Statistical hypotheses must always be stated in terms of which value?
- Population parameter
- Test statistic
- Sample statistic
- Critical value
-
What term describes the probability threshold used to reject a null hypothesis?
- Confidence interval
- p-value
- Significance level
- Critical value
-
What is the region containing values that lead to rejecting the null hypothesis?
- Acceptance region
- Sample space
- Confidence region
- Critical region
-
What name is given to the statistic calculated directly from sample data?
- Test statistic
- p-value
- Population parameter
- Critical value
-
Which test is used when the alternative hypothesis tests for any change?
- One-tailed test
- Paired test
- Two-tailed test
- Critical test
-
Which value is compared directly with the significance level to reach a conclusion?
- Test statistic
- Parameter value
- p-value
- Critical value
-
What is the boundary value that divides the critical and acceptance regions?
- Test statistic
- Expected value
- Critical value
- p-value
-
If testing whether a population proportion p has increased, what is H1?
- H1: p ≠ p0
- H1: p = p0
- H1: p < p0
- H1: p > p0
-
What action should be taken if the test statistic falls in the critical region?
- Accept H0
- Accept H1
- Reject H1
- Reject H0
-
What is the set of test statistic values where H0 is not rejected?
- Rejection region
- Acceptance region
- Critical region
- Significance region
-
Conclusions from hypothesis tests must always be stated using which mindset?
- Non-certainty
- Definite proof
- Absolute certainty
- Complete fact
-
In a two-tailed test at a 5% significance level, what is each tail's area?
- 1%
- 5%
- 2.5%
- 10%
-
When testing whether a coin is biased, what is the default null hypothesis?
- H0: p ≠ 0.5
- H0: p > 0.5
- H0: p = 0.5
- H0: x = 0.5
-
If the significance level of a test is reduced, what happens to the critical region?
- It expands
- It stays same
- It doubles
- It shrinks
-
If the p-value is 0.08 at the 5% level, what is the statistical decision?
- Reject H0
- Do not reject H0
- Prove H0 true
- Accept H0 definitely
-
Why is stating Accept H0 as a final conclusion considered mathematically incorrect?
- H0 not proven
- H0 always false
- Data is wrong
- H1 is true
-
In a binomial hypothesis test, what usually acts as the test statistic?
- Significance level
- Population size
- Number of successes
- Sample mean
-
Which type of test is indicated by the alternative hypothesis H1: p < 0.3?
- Lower one-tailed test
- Upper one-tailed test
- Non-parametric test
- Two-tailed test
-
What does the p-value represent assuming the null hypothesis is actually true?
- Probability H0 true
- Critical value threshold
- Probability H1 true
- Probability of result
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