The Relationship Between Confidence Intervals & Hypothesis Tests

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question 1 of 3

What can we NOT do with a null hypothesis?

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1. A scientist has a null hypothesis Ho: μ = 60 and an alternate hypothesis Ha: μ not equal to 60. What kind of test is the scientist running?

2. If the sample size is small and the population standard deviation is not known, we typically use the _____

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About This Quiz & Worksheet

Our short quiz/worksheet combo tests your knowledge of the relationship between hypothesis tests and confidence intervals quickly and easily. Here you'll answer questions about how to discern the best type of test to run in an example scenario and what it means when the p-value is less than the significance α.

Quiz & Worksheet Goals

Take this quiz to see how well you understand:

  • What cannot be done with a null hypothesis
  • What kind of test is being run in an example scenario
  • The type of distribution used if the sample size is small and the population standard deviation is unknown
  • The outcome if the p-value is less than the significance α
  • What it means when the value of the mean μ as stated in the null hypothesis Ho falls within the confidence interval

Skills Practiced

  • Knowledge application - use your knowledge to answer a question about the distribution to use if the sample size is small and the population standard deviation is unknown
  • Interpreting information - verify that you can read information regarding the actions that can be done with a null hypothesis and interpret it correctly
  • Reading comprehension - ensure that you draw the most important information from the related lesson about the relationship between confidence intervals and hypothesis tests

Additional Learning

In our lesson called The Relationship Between Confidence Intervals & Hypothesis Tests, you can work at your own pace as you learn more about this subject. This lesson has been designed to assist you in reaching the following goals:

  • Define null hypothesis and how it's used in hypothesis testing
  • Identify the complement to the null hypothesis and what it's used for
  • Explain what the significance level means
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