Statistics: Parameters in Hypothesis Testing

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Questions and Answers

What type of error occurs when the null hypothesis is rejected when it is actually true?

  • Type I error (correct)
  • Critical value
  • Acceptance region
  • Type II error

What is the set of all values of the test statistic that causes us to fail to reject the null hypothesis?

  • Alpha region
  • Rejection region
  • Non-rejection region (correct)
  • Beta region

What is the point on the test distribution that is compared to the test statistic to determine if the null hypothesis would be rejected?

  • Type I error
  • Critical value (correct)
  • Critical region
  • Alpha region

What is the probability of rejecting the null hypothesis when it is actually true denoted by?

<p>Alpha (α) (B)</p> Signup and view all the answers

What is a numerical quantity that characterizes a given population or some of its aspects?

<p>Parameter (B)</p> Signup and view all the answers

What is a numerical measure that is calculated from the sample?

<p>Statistic (B)</p> Signup and view all the answers

What is the primary purpose of a null hypothesis in a hypothesis test?

<p>To test an assumption that there is no significant difference between two parameters (B)</p> Signup and view all the answers

What is the level of significance in a hypothesis test denoted by?

<p>α (alpha) (D)</p> Signup and view all the answers

What is the probability of making a wrong decision when the null hypothesis is true?

<p>The significance level α (B)</p> Signup and view all the answers

What is the term for the error of rejecting a true null hypothesis?

<p>Type I Error (D)</p> Signup and view all the answers

What is the term for the error of failing to reject a false null hypothesis?

<p>Type II Error (A)</p> Signup and view all the answers

What is the characteristic of a parameter versus a statistic?

<p>A parameter is a measure of a population, while a statistic is a measure of a sample (C)</p> Signup and view all the answers

What is the symbol used to represent the population mean in hypothesis testing?

<p>𝝁 (D)</p> Signup and view all the answers

What is the null hypothesis in the example where the average weight of all Grade 11 students is claimed to be 169 cm?

<p>The average weight of all Grade 11 students is equal to 169 cm. (A)</p> Signup and view all the answers

What is a test statistic?

<p>A random variable that is calculated from sample data (B)</p> Signup and view all the answers

What is the main difference between a parameter and a statistic?

<p>A parameter is a measure of the population, while a statistic is a measure of the sample. (A)</p> Signup and view all the answers

What is Type I error?

<p>Rejecting a true null hypothesis (A)</p> Signup and view all the answers

What is Type II error?

<p>Failing to reject a false null hypothesis (B)</p> Signup and view all the answers

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