Grade 9 Hypothesis Testing Worksheet
This worksheet covers fundamental concepts of hypothesis testing, including null and alternative hypotheses, p-values, and types of errors, suitable for Grade 9 students.
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Standards
Topics
Hypothesis Testing Fundamentals
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. What is the primary purpose of a null hypothesis (H₀)?
To state there is a significant difference or relationship.
To assume there is no effect, no difference, or no relationship.
To prove that an experiment's results are always true.
To identify the independent variable in an experiment.
2. Which of the following is typically represented by H₁ or Hₐ?
The null hypothesis.
The alternative hypothesis.
The dependent variable.
The significance level.
1. A p-value greater than the significance level (α) leads to the rejection of the null hypothesis.
True
False
2. A Type I error occurs when you fail to reject a false null hypothesis.
True
False
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. When we reject the null hypothesis, but it was actually true, we commit a error.
3. The significance level, often denoted by , is the probability of making a Type I error.
1. A researcher claims that the average height of Grade 9 students is 160 cm. State the null and alternative hypotheses for this claim.
H₀:
H₁:
2. Explain in your own words what a p-value tells us in the context of hypothesis testing.
The diagram below illustrates a standard normal distribution. In hypothesis testing, we often use such distributions to determine critical regions and p-values.