Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance. a. Find the value of the test statistic. (Round to two or more decimal places.) b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.
Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance. a. Find the value of the test statistic. (Round to two or more decimal places.) b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance.
a. Find the value of the test statistic. (Round to two or more decimal places.)
b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.)
c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.
Transcribed Image Text:uate student performed a visual experiment on a number of participants. Since the experiment involved displays of colored letters and
I
An und
backgrc after the experiment the student wondered whether the presence or absence of color vision in the participants could have produced some of the
effects seen in the data. The student went back, tested his participants for colorblindness, and reanalyzed the data. He considered the variables color vision of
participant ("colorblind" or "not colorblind") and trial outcome ("hit", "miss", "false alarm", or "correct rejection").
The contingency table below gives a summary of the data from 2000 trials of the experiment. Each of the trials was performed either by a colorblind
participant or a non-colorblind participant. Each cell of the table contains three numbers: the first number is the observed cell frequency (f); the second
number is the expected cell frequency (f) under the assumption that there is no dependence between the two variables color vision of participant and trial
outcome; and the third number is the following value.
(fo-ƒE)²
SE
The numbers labeled "Total" are totals for observed frequency.
(Observed cell frequency - Expected cell frequency)²
Expected cell frequency
![Color vision
of
participant
Colorblind
Not
colorblind
Total
Hit
65
73.54
0.992
649
640.46
0.1
714
Miss
35
30.28
0.736
259
263.72
False alarm
26
31.52
0.967
280
274.48
0.084 0.111]
294
306
Correct
rejection
80
70.66
1.235
606
615.34
0.142
686
Total
206
1794
2000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50a93c10-85d4-41d2-a577-62aadf58513c%2Ff99f9923-227b-499a-ba55-9393606703f3%2F8yqqtmn_processed.png&w=3840&q=75)
Transcribed Image Text:Color vision
of
participant
Colorblind
Not
colorblind
Total
Hit
65
73.54
0.992
649
640.46
0.1
714
Miss
35
30.28
0.736
259
263.72
False alarm
26
31.52
0.967
280
274.48
0.084 0.111]
294
306
Correct
rejection
80
70.66
1.235
606
615.34
0.142
686
Total
206
1794
2000
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