In an experiment to see if a certain type of therapy would improve the walking ability of patients with Parkinson's disease, researchers compared a random group of patients with Parkinson's to a group randomly assigned to a new therapy. For each group, the number of patients with improved walking ability was noted at the end of the study period. (1 is the treatment group and 2 is the control group.) The relevant hypotheses are Ho: P₁ = P2 versus Ha: P1 P2 Which of the following is a description of a Type II error in the context of this problem? It is true that the proportion of patients with improved walking ability is the same for both populations, and we have no evidence to believe otherwise. It is true that the proportion of patients with improved walking ability is the same for both populations, but we reject this and conclude that the population proportion of improvement for the treatment group is greater. It is NOT true that the proportion of patients with improved walking ability is the same for both populations, but we have no evidence to believe that the population proportion of improvement for the treatment group is greater. O It is NOT true that the proportion of patients with improved walking ability is the same for both populations, and we reject this and conclude that the population proportion of improvement for the treatment group is greater. Page 13 of 42

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In an experiment to see if a certain type of therapy would improve the walking ability of
patients with Parkinson's disease, researchers compared a random group of patients with
Parkinson's to a group randomly assigned to a new therapy. For each group, the number of
patients with improved walking ability was noted at the end of the study period. (1 is the
treatment group and 2 is the control group.) The relevant hypotheses are Ho: p1 = P2
versus Ha: P₁ P2
Which of the following is a description of a Type II error in the context of this problem?
It is true that the proportion of patients with improved walking ability is the same for
both populations, and we have no evidence to believe otherwise.
O
It is true that the proportion of patients with improved walking ability is the same for
both populations, but we reject this and conclude that the population proportion of
improvement for the treatment group is greater.
O
It is NOT true that the proportion of patients with improved walking ability is the same
for both populations, but we have no evidence to believe that the population proportion
of improvement for the treatment group is greater.
It is NOT true that the proportion of patients with improved walking ability is the same
for both populations, and we reject this and conclude that the population proportion of
improvement for the treatment group is greater.
Page 13 of 42
mi70
Transcribed Image Text:In an experiment to see if a certain type of therapy would improve the walking ability of patients with Parkinson's disease, researchers compared a random group of patients with Parkinson's to a group randomly assigned to a new therapy. For each group, the number of patients with improved walking ability was noted at the end of the study period. (1 is the treatment group and 2 is the control group.) The relevant hypotheses are Ho: p1 = P2 versus Ha: P₁ P2 Which of the following is a description of a Type II error in the context of this problem? It is true that the proportion of patients with improved walking ability is the same for both populations, and we have no evidence to believe otherwise. O It is true that the proportion of patients with improved walking ability is the same for both populations, but we reject this and conclude that the population proportion of improvement for the treatment group is greater. O It is NOT true that the proportion of patients with improved walking ability is the same for both populations, but we have no evidence to believe that the population proportion of improvement for the treatment group is greater. It is NOT true that the proportion of patients with improved walking ability is the same for both populations, and we reject this and conclude that the population proportion of improvement for the treatment group is greater. Page 13 of 42 mi70
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