Hypothesis Testing 101

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Questions and Answers

What is a statistical hypothesis?

  • A theory about a single population
  • A proven fact about multiple populations
  • An assertion about one or more populations (correct)
  • A guess about a single population

True or false:Hypothesis testing is used to test the validity of theories.

False (B)

What is the null hypothesis?

  • The investigator's belief
  • The commonly accepted fact (correct)
  • An operational statement of a theory
  • A proven fact

True or false: The alternative hypothesis is the commonly accepted fact.

<p>False (A)</p> Signup and view all the answers

What is the alternative hypothesis?

<p>The operational statement of a theory (B)</p> Signup and view all the answers

True or false: The steps to perform hypothesis testing include problem identification, stating the null and alternative hypotheses, choosing the level of significance, and collecting data.

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

What are the steps involved in hypothesis testing?

<p>Stating the null and alternative hypotheses, choosing the level of significance, selecting the appropriate test statistic and establishing the critical region, collecting data, making a decision, and drawing conclusions about the population (D)</p> Signup and view all the answers

True or false: The probability of obtaining results by chance is used to determine whether the null hypothesis can be accepted.

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

How is the probability of obtaining results by chance used in hypothesis testing?

<p>To determine whether the null hypothesis can be rejected (D)</p> Signup and view all the answers

True or false: The binomial distribution can be used to compute the probability of obtaining a certain number of correct guesses.

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

What is the binomial distribution used for in hypothesis testing?

<p>To compute the probability of obtaining a certain number of correct guesses (C)</p> Signup and view all the answers

True or false: The story of Harry Potter and wands is used as an example to illustrate hypothesis testing.

<p>False (A)</p> Signup and view all the answers

What do researchers work to do in regards to the null hypothesis?

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

True or false: A hypothesis should not be testable by experiment or observation.

<p>False (A)</p> Signup and view all the answers

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Study Notes

  • Hypothesis testing is used to test the validity of survey or experiment results.
  • A statistical hypothesis is an assertion or conjecture about one or more populations.
  • The null hypothesis is the commonly accepted fact, while the alternative hypothesis is the operational statement of the theory that the investigator believes to be true and wishes to prove.
  • To perform hypothesis testing, one must follow several steps, including problem identification, stating the null and alternative hypotheses, choosing the level of significance, selecting the appropriate test statistic and establishing the critical region, collecting data, making a decision, and drawing conclusions about the population.
  • The probability of obtaining results by chance is used to determine whether the null hypothesis can be rejected.
  • The binomial distribution can be used to compute the probability of obtaining a certain number of correct guesses.
  • The story of James Bond and martinis is used as an example to illustrate hypothesis testing.
  • A hypothesis should be testable by experiment or observation.
  • Hypothesis testing can be confusing for students, but following the steps can make it easier.
  • Researchers work to reject, nullify, or disprove the null hypothesis.

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