Hypothesis Testing

• What is the purpose of the video described in the introduction?

  To go through hypothesis test examples
• What prior knowledge does the video assume the viewer has?

  What a hypothesis test is
• According to the study material, what kind of video is this?

  A revision video
• In hypothesis testing, what does 'p' represent?

  Probability of a customer ordering
• What kind of concluding statement is needed in a hypothesis test?

  A non-committal statement
• What alternative method is introduced to solve the same hypothesis test?

  Critical region method
• What part of the solution changes when using the critical region method?

  The working in the middle
• Which calculator option is preferred when looking for a critical region?

  List
• How can you estimate where to start looking for the critical region?

  Multiply n and p together
• In the critical region method, what values are compared to the significance level?

  P-values
• What indicates the critical region when comparing p-values?

  Values less than significance level
• How do you know whether to reject $H_0$ using the critical region method?


  If the value is in critical region
• In a modified scenario, how many customers ordered a hot drink?

  55
• In the modified scenario, what is being tested?

  If proportion is unusually high
• In the modified scenario, what is the alternative hypothesis?

  $p > 0.82$
• How is the probability calculated when testing for unusually high proportions?

  1 - P(X ≤ value - 1)
• In the modified scenario, what probability is calculated?

  $P(X ≥ 55)$
• In the modified scenario, what is the calculated probability?

  0.3606
• In the modified scenario, why is the result not significant?

  Because 0.3606 > 0.1
• What is the correct conclusion if the result is not significant?

  Fail to reject $H_0$
• What is the concluding statement when you fail to reject $H_0$?


  Insufficient evidence to suggest high
• In the modified scenario using the critical region method, what overlap are you looking for?

  Overlap of 10% from the top
• In the modified scenario using the critical region method, how are the probabilities adjusted?

  Add one to both x values
• In the modified scenario using the critical region method, how is the critical region identified?

  Less than significance level
• In a new scenario, what is being tested if the question asks "different"?

  A two-tailed test
• In a two-tailed test, what is the alternative hypothesis?

  $p ≠ 0.82$
• In a two-tailed test, how do you decide which inequality to use?

  Compare the value to the mean
• In a two-tailed test, what is the mean value multiplied by?

  Multiply $n *$$p$
• In a two-tailed test, how is the significance level adjusted?

  Halve the significance level
• In a two-tailed test, against what value is the probability compared?

  Half the significance level
• Why is the critical region method for two-tailed tests considered long-winded?

  Requires lots of writing
• In the critical region method for two-tailed tests, what overlap are you looking for at the bottom end?

  5% from the bottom
• In the critical region method for two-tailed tests, what overlap are you looking for at the top end?

  5% from the top
• How is the critical region identified in a two-tailed test using the critical region method?

  Values less than significance level
• What type of hypothesis test is discussed after the binomial tests?

  Sample means hypothesis test
• What distribution is used in the sample means hypothesis test?

  Normal distribution
• Is there one preferred way of setting out the work?

  No
• How many alternative ways of setting out the work will be shown?

  Three
• In the sample means test, what does Rosie Orchards produce?

  Cartons of apple juice
• What is the mean content of the cartons of apple juice?

  364 ml