One-Sample Testing Procedures in Statistics
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Questions and Answers

What is the probability of making a Type I error in a significance test at level α?

  • 1 – power
  • α (correct)
  • β
  • 1 – α

    • What is another name for a Type II error?

  • Power
  • False Positive
  • False Negative (correct)
  • Significance Level

    • How would you calculate the power of a test against a particular alternative value?

  • (1 – α) / β
  • α
  • 1 – β (correct)
  • β

    • Which of the following represents a correct null hypothesis result?

    <p>True Positive</p> Signup and view all the answers

    What does the significance level α represent in hypothesis testing?

    <p>Probability of making a Type I error</p> Signup and view all the answers

    How are Type I and Type II errors related to the power of a statistical test?

    <p>(1 – power) = 1 – β</p> Signup and view all the answers

    What do boxplots and Q-Q plots help us check for?

    <p>Outliers and skewed distributions</p> Signup and view all the answers

    Which of the following is an important consideration when conducting one-sample testing procedures?

    <p>Confidence level</p> Signup and view all the answers

    What does the significance level (α) of a test represent?

    <p>Probability of making a Type I error</p> Signup and view all the answers

    In statistical testing, what is the recommended threshold for statistical power?

    <p>0.80</p> Signup and view all the answers

    What does the power of a statistical test refer to?

    <p>Ability to detect a difference when there is one</p> Signup and view all the answers

    If we repeatedly use a 5% significance test when the null hypothesis is true, what percentage of times will we be correct?

    <p>95%</p> Signup and view all the answers

    What is the purpose of the alternative hypothesis Ha in significance tests?

    <p>To define what outcomes count against the null hypothesis</p> Signup and view all the answers

    In the context of determining if an email is spam, what is a Type I error?

    <p>Rejecting an email that is not spam</p> Signup and view all the answers

    How does the power of an experiment change if the sample data has less scatter/variation?

    <p>Increases</p> Signup and view all the answers

    Which error occurs when we fail to reject the null hypothesis (withhold judgment) when in fact the alternative hypothesis is true?

    <p>Type II error</p> Signup and view all the answers

    What does a Type II error represent in a significance test?

    <p>Failing to reject the null hypothesis when it is false</p> Signup and view all the answers

    How are Type I and Type II errors related to each other in significance tests?

    <p>Decreasing Type I error increases Type II error</p> Signup and view all the answers

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