Researchers are interested in the effect of a high-protein diet on the performance of undergraduates on the Verbal GRE. They start with no expectations as to whether students on the high-protein diet will perform better than students in a control group who follow their usual diet. After noticing that students on the high-protein diet tended to have higher GRE scores, the researchers decided to test a one-sided alternative about the mean Verbal GRE scores, Họ : Hhigh-protein diet = Hcontrol diet Ha : Hhigh-protein diet > Hcontrol diet The researchers find z = 2.24 with one-sided P-value is P = 0.0125.

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(b) What is the correct P-value for z =
2.24?
O 0.00625
0.0500
0.0375
0.0250
Transcribed Image Text:(b) What is the correct P-value for z = 2.24? O 0.00625 0.0500 0.0375 0.0250
Researchers are interested in the effect of a high-protein diet on the performance of undergraduates on the Verbal GRE.
They start with no expectations as to whether students on the high-protein diet will perform better than students in a
control
group
who follow their usual diet. After noticing that students on the high-protein diet tended to have higher GRE
scores, the researchers decided to test a one-sided alternative about the mean Verbal GRE scores,
Ho : Mnigh-protein diet
= Hcontrol diet
Ha : Mhigh-protein diet > Mcontrol diet
The researchers find z = 2.24 with one-sided P-value is P = 0.0125.
(a) Explain why the researchers should have used the two-sided alternative hypothesis.
The researchers selected the alternative hypothesis after examining the data. The alternative hypothesis should be
formulated before examining data, and should be motivated by data.
The researchers selected the alternative hypothesis after examining the data. The alternative hypothesis should be
formulated before examining data, and espcially should not be motivated by data.
The researchers selected the alternative hypothesis before examining the data. The alternative hypothesis should be
formulated after examining data, and should be motivated by data.
The researchers selected the alternative hypothesis before examining the data. The alternative hypothesis should be
formulated after examining data, and especially should not be motivated by data.
Transcribed Image Text:Researchers are interested in the effect of a high-protein diet on the performance of undergraduates on the Verbal GRE. They start with no expectations as to whether students on the high-protein diet will perform better than students in a control group who follow their usual diet. After noticing that students on the high-protein diet tended to have higher GRE scores, the researchers decided to test a one-sided alternative about the mean Verbal GRE scores, Ho : Mnigh-protein diet = Hcontrol diet Ha : Mhigh-protein diet > Mcontrol diet The researchers find z = 2.24 with one-sided P-value is P = 0.0125. (a) Explain why the researchers should have used the two-sided alternative hypothesis. The researchers selected the alternative hypothesis after examining the data. The alternative hypothesis should be formulated before examining data, and should be motivated by data. The researchers selected the alternative hypothesis after examining the data. The alternative hypothesis should be formulated before examining data, and espcially should not be motivated by data. The researchers selected the alternative hypothesis before examining the data. The alternative hypothesis should be formulated after examining data, and should be motivated by data. The researchers selected the alternative hypothesis before examining the data. The alternative hypothesis should be formulated after examining data, and especially should not be motivated by data.
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