In a specific population of adult migraine sufferers in the US, the average number of migraines per month is 9. An acupuncturist claims that her treatment can reduce this figure significantly. On your own scrap paper, explore the possible errors with a Type 1/2 error chart, making note of the meaning of each possibility. Decision H0H0 is Actually True     False     Reject H0H0 and Accept HaHa         Fail to Reject H0H0         Select the Null and Alternative Hypotheses to the scenario using the correct symbols. H0H0: μ<9μ<9 HaHa: μ=9μ=9 H0H0: μ>9μ>9 HaHa: μ=9μ=9 H0H0: μ=9μ=9 HaHa: μ>9μ>9 H0H0: μ=9μ=9 HaHa: μ<9μ<9 Explain what a type 1 error is in this scenario. A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can. A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot. A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it can Explain what a type 2 error is in this scenario. A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. A type 2 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot. A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can. A type 2 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it can. Explain why a type 1 error is worse than a type 2 error in this situation. With a type 1 error, we tell people that acupuncture will likely help reduce the occurrence of migraines, giving them false hope or possibly missing out on another treatment that will work. With a type 2 error, we tell them acupuncture won't help them, so they seek out another remedy. It causes less harm to people. With a type 1 error, we tell people acupuncture won't help them, so they seek out another remedy. It causes less harm to people. With a type 2 error, we tell people that acupuncture will likely help reduce the occurrence of migraines, giving them false hope or possibly missing out on another treatment that will work.

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In a specific population of adult migraine sufferers in the US, the average number of migraines per month is 9. An acupuncturist claims that her treatment can reduce this figure significantly.

On your own scrap paper, explore the possible errors with a Type 1/2 error chart, making note of the meaning of each possibility.

Decision H0H0 is Actually
True
 
 
False
 
 
Reject H0H0 and Accept HaHa
 
 
   
Fail to Reject H0H0
 
 
   
  1. Select the Null and Alternative Hypotheses to the scenario using the correct symbols.
    • H0H0: μ<9μ<9
      HaHa: μ=9μ=9
    • H0H0: μ>9μ>9
      HaHa: μ=9μ=9
    • H0H0: μ=9μ=9
      HaHa: μ>9μ>9
    • H0H0: μ=9μ=9
      HaHa: μ<9μ<9
  2. Explain what a type 1 error is in this scenario.
    • A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can.
    • A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot.
    • A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot.
    • A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it can
  3. Explain what a type 2 error is in this scenario.
    • A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot.
    • A type 2 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot.
    • A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can.
    • A type 2 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it can.
  4. Explain why a type 1 error is worse than a type 2 error in this situation.
    • With a type 1 error, we tell people that acupuncture will likely help reduce the occurrence of migraines, giving them false hope or possibly missing out on another treatment that will work.

      With a type 2 error, we tell them acupuncture won't help them, so they seek out another remedy. It causes less harm to people.
    • With a type 1 error, we tell people acupuncture won't help them, so they seek out another remedy. It causes less harm to people.

      With a type 2 error, we tell people that acupuncture will likely help reduce the occurrence of migraines, giving them false hope or possibly missing out on another treatment that will work.
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