Mathematics
Problem dealing with Preal, Null Hypothesis, statistics homework help

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Preal, Null Hypothesis Help

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1. A psychologist is interested in whether hypnosis affects brain dominance (that is, whether the left or right hemisphere of the brain is dominant). Eleven college students from the freshman class are randomly sampled for an experiment. The experiment has two conditions that are given on different days. In condition 1, the students are hypnotized and then given a test that measures the relative dominance of the right and left hemispheres. The higher the score, the more dominant is the right hemisphere. In condition 2, the same students are given the test again, only this time they are not hypnotized but are in their normal state of consciousness. The following scores are obtained: Student 1 2 3 4 5 6 7 8 9 10 11 Condition 1 26 15 22 19 23 37 16 17 14 16 21 Condition 2 12 13 18 17 21 22 18 22 10 14 15 1.What is the p value? In other words, what is the probability of getting a result as extreme or more extreme as the observed result purely by chance (2-tailed)? 2.Using α = 0.052 tail, what is your conclusion about the null hypothesis? Justify your answer. 3.If you had set α = 0.012 tail, what would be your conclusion about the null hypothesis? Justify your answer. 4.What is the power of this experiment, for α = 0.052 tail and Preal = .10? 5.What is the probability of making a Type II error in this experiment when α = 0.052 tail and Preal = .10? 6.What is the power of this experiment, for α = 0.012 tail and Preal = .10? 7.What is the probability of making a Type II error in this experiment when α = 0.012 tail and Preal = .10? 8.What is the power of this experiment, for α = 0.052 tail and Preal = .30? 9.What is the probability of making a Type II error in this experiment when α = 0.052 tail and Preal = .30? 10.What is the power of this experiment, for α = 0.012 tail and Preal = .40? 11.What is the probability of making a Type II error in this experiment when α = 0.012 tail and Preal = .40? ...
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Final Answer

Hi! Here's the solution, I've done it with LibreOffice so possibly the tables won't be centered, but I hope that's not an issue

1.

A psychologist is interested in whether hypnosis affects brain dominance (that is,
whether the left or right hemisphere of the brain is dominant). Eleven college students
from the freshman class are randomly sampled for an experiment. The experiment has
two conditions that are given on different days. In condition 1, the students are
hypnotized and then given a test that measures the relative dominance of the right and
left hemispheres. The higher the score, the more dominant is the right hemisphere. In
condition 2, the same students are given the test again, only this time they are not
hypnotized but are in their normal state of consciousness. The following scores are
obtained:

Student

1

2

3

4

5

6

7

8

9

10

11

Cond...

soph_0001 (49)
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