Grade 12 Hypothesis Testing Worksheet

Hypothesis Testing Fundamentals

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?

2. A Type I error occurs when:

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.

2. A Type II error occurs when we correctly reject a false null hypothesis.

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.