Statistics and Probability: Hypothesis Testing
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Questions and Answers

What is the null hypothesis in the given one-sample t-test?

  • H0: μ > 81.6
  • H0: μ = 81.6 (correct)
  • H0: μ ≠ 81.6
  • H0: μ < 81.6

    • What is the conclusion if the computed value is less than the critical value in a right-tailed test?

  • Fail to reject the alternative hypothesis
  • Reject the alternative hypothesis
  • Reject the null hypothesis
  • Do not reject the null hypothesis (correct)

    • What does it mean when we reject the null hypothesis?

  • The test is not statistically significant
  • There is enough evidence against the null hypothesis (correct)
  • The alternative hypothesis is true
  • The null hypothesis is definitely correct

    • What is the consequence of rejecting a true null hypothesis?

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

    What is the purpose of the critical value in a hypothesis test?

    <p>To compare with the test statistic</p> Signup and view all the answers

    What is the meaning of failing to reject the null hypothesis?

    <p>There is not enough evidence to support the alternative hypothesis</p> Signup and view all the answers

    What is the alternative to rejecting the null hypothesis in a hypothesis test?

    <p>Failing to reject the null hypothesis</p> Signup and view all the answers

    What is the critical value used for in a hypothesis test?

    <p>To determine the rejection region</p> Signup and view all the answers

    What is the risk of committing a Type I error in a hypothesis test?

    <p>Rejecting the null hypothesis when it is true</p> Signup and view all the answers

    What is the next step after formulating the hypotheses in a hypothesis test?

    <p>Choose the level of significance</p> Signup and view all the answers

    What is the purpose of the test statistic in a hypothesis test?

    <p>To compare with the critical value</p> Signup and view all the answers

    In a two-tailed test with α = 0.05, what is the critical value?

    <p>z = ±1.65</p> Signup and view all the answers

    What occurs when a false null hypothesis is not rejected?

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

    What is the critical value in a hypothesis test?

    <p>The boundary between the critical and non-critical regions</p> Signup and view all the answers

    What is the result of rejecting a true null hypothesis?

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

    What is the purpose of the test statistic in a hypothesis test?

    <p>To determine whether to reject or fail to reject the null hypothesis</p> Signup and view all the answers

    What is the alternative hypothesis in a test where the mean height of women is greater than 64 inches?

    <p>Hₐ: μ &gt; 64</p> Signup and view all the answers

    What is the final step in the hypothesis testing procedure?

    <p>Draw a conclusion about the population</p> Signup and view all the answers

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