The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 698 Americans is administered the acupuncturists treatment and 80 report experiencing migraines. I highly recommend you explore the possible errors with a contingency table, making note of the meaning of each possibility. Ho is Actually Action Do not Reject Ho Reject Ho True Ο Ηρ: μ = 0.152 Ha: μ < 0.152 a. Select the Null and Alternative Hypotheses to the scenario using the correct symbols. Ho: p < 0.152 Ha: p = 0.152 False Ho: p = 0.152 Ha: p < 0.152 b. Explain what a type 1 error is in this scenario. A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot. O A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. O A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can. O A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it can

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c. Explain what a type 2 error is in this scenario
O A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent
migraines when in fact, it can.
O A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent
migraines when in fact, it cannot.
O A type 2 error would be concluding that the migraine treatment cannot reduce occurence of
frequent migraines when in fact it cannot.
O A type 2 error would be concluding that the migraine treatment cannot reduce occurence of
frequent migraines when in fact it can.
d. Explain why a type 1 error is worse than a type 2 error in this situation
O 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.
No big deal?
O with a type 1 error, we tell people acupuncture won't help them, so they seek out another remedy.
No big deal? 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.
Transcribed Image Text:c. Explain what a type 2 error is in this scenario O A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can. O A type 2 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. O A type 2 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot. O A type 2 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it can. d. Explain why a type 1 error is worse than a type 2 error in this situation O 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. No big deal? O with a type 1 error, we tell people acupuncture won't help them, so they seek out another remedy. No big deal? 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.
The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist
claims that her treatment can reduce this figure significantly. A random sample of 698 Americans is
administered the acupuncturists treatment and 80 report experiencing migraines.
I highly recommend you explore the possible errors with a contingency table, making note of the meaning of
each possibility.
Action
Do not Reject Ho
Reject Ho
=
True
Ho: μ = 0.152
Ha: μ < 0.152
Ho is Actually
a. Select the Null and Alternative Hypotheses to the scenario using the correct symbols.
O Ho: p < 0.152
Ha: P
0.152
False
Ho: p = 0.152
Ha: p < 0.152
b. Explain what a type 1 error is in this scenario.
A type 1 error would be concluding that the migraine treatment cannot reduce occurence of
frequent migraines when in fact it cannot.
O A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent
migraines when in fact, it cannot.
O 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 cannot reduce occurence of
frequent migraines when in fact it can
Transcribed Image Text:The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 698 Americans is administered the acupuncturists treatment and 80 report experiencing migraines. I highly recommend you explore the possible errors with a contingency table, making note of the meaning of each possibility. Action Do not Reject Ho Reject Ho = True Ho: μ = 0.152 Ha: μ < 0.152 Ho is Actually a. Select the Null and Alternative Hypotheses to the scenario using the correct symbols. O Ho: p < 0.152 Ha: P 0.152 False Ho: p = 0.152 Ha: p < 0.152 b. Explain what a type 1 error is in this scenario. A type 1 error would be concluding that the migraine treatment cannot reduce occurence of frequent migraines when in fact it cannot. O A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. O 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 cannot reduce occurence of frequent migraines when in fact it can
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