Grade 12 Hypothesis Testing Worksheet
This worksheet covers key concepts in hypothesis testing, including null and alternative hypotheses, p-values, significance levels, and types of errors, suitable for Grade 12 students.
Includes
Standards
Topics
Hypothesis Testing Fundamentals
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Read each question carefully and provide your best answer. Show all your work where applicable.
1. Which of the following is typically denoted by H₀?
Alternative hypothesis
Null hypothesis
Level of significance
Test statistic
2. A Type I error occurs when:
We fail to reject a false null hypothesis.
We reject a true null hypothesis.
We reject a false null hypothesis.
We fail to reject a true null hypothesis.
1. The is the probability of observing a test statistic as extreme as, or more extreme than, the one observed, assuming the null hypothesis is true.
2. The significance level, denoted by , represents the maximum probability of committing a Type I error that we are willing to accept.
3. A two-tailed test is used when the alternative hypothesis states that the population parameter is to a specific value.
1. If the p-value is less than the significance level (α), we fail to reject the null hypothesis.
True
False
2. A Type II error occurs when we correctly reject a false null hypothesis.
True
False
1. Briefly explain the difference between a null hypothesis and an alternative hypothesis.
2. Describe a real-world scenario where a Type I error would be more serious than a Type II error.
Consider a normal distribution curve. Label the mean (μ) and illustrate the rejection region for a two-tailed test with a significance level (α) of 0.05. Assume the test statistic follows a standard normal distribution.