q3 can you show every step on how to do the chi square goodness of fit question do that I can understand the steps clearly. Also attached the example formula and chi square critical table A researcher would like to examine the factors that influence Gen Z purchasing decision when buying new clothes. The researcher conducted a survey on 160 Gen Z and asked them to select the most important factor that will influence their purchasing decision. The frequency distribution is as follows: Factors Influencing Purchasing Decision Brand Style price quality 40 30 30 60 (i) Test at .05 level of significance and indicate whether the data above show any significant preference among the four factors. (ii) Compute the effect size . (iii) Report your findings using APA format, 7th edition.
q3 can you show every step on how to do the chi square goodness of fit question do that I can understand the steps clearly. Also attached the example formula and chi square critical table A researcher would like to examine the factors that influence Gen Z purchasing decision when buying new clothes. The researcher conducted a survey on 160 Gen Z and asked them to select the most important factor that will influence their purchasing decision. The frequency distribution is as follows: Factors Influencing Purchasing Decision Brand Style price quality 40 30 30 60 (i) Test at .05 level of significance and indicate whether the data above show any significant preference among the four factors. (ii) Compute the effect size . (iii) Report your findings using APA format, 7th edition.
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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q3 can you show every step on how to do the chi square goodness of fit question do that I can understand the steps clearly. Also attached the example formula and chi square critical table
A researcher would like to examine the factors that influence Gen Z purchasing decision when buying new clothes. The researcher conducted a survey on 160 Gen Z and asked them to select the most important factor that will influence their purchasing decision. The frequency distribution is as follows:
Factors Influencing Purchasing Decision
Brand Style price quality
40 30 30 60
(i) Test at .05 level of significance and indicate whether the data above show any significant preference among the four factors.
(ii) Compute the effect size .
(iii) Report your findings using APA format, 7th edition.
Transcribed Image Text:BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II
The Chi-Square Distribution*
*The table entries are critical values of x.
Critical
Proportion in Critical Region
0.025
df
0.10
0.05
0.01
0.005
5.02
7.38
6.63
7.88
2.71
4.61
3.84
9.21
10.60
5.99
7.81
2
3
6.25
9.35
I 1.34
12.84
7.78
11.14
13.28
14.86
9.49
11.07
4
5
9.24
12.83
15.09
16,75
14.45
16.81
18.55
10.64
12.02
13.36
12.59
14.07
15.51
7
16.01
18.48
20.28
17.53
20.09
21.96
19.02
21.67
23.59
16.92
18.31
9
14.68
10
15.99
20.48
23.21
25.19
26.76
28.30
29.82
19.68
21.92
24.72
17.28
18.55
19.81
21.06
11
12
21.03
23.34
26.22
24.74
27.69
22.36
23.68
13
14
26.12
29.14
31.32
30.58
32.00
32.80
25.00
26.30
27.49
28.85
15
22.31
16
23.54
34.27
17
24.77
27.59
30.19
33.41
35.72
37.16
38.58
18
25.99
28.87
31.53
34.81
36.19
30.14
31.41
19
27.20
32.85
20
28.41
34.17
37.57
40.00
38.93
40.29
41.40
32.67
33.92
35.17
36.42
37.65
38.89
40,11
41.34
42.56
43.77
35.48
36.78
38.08
39.36
40.65
41.92
43.19
21
29.62
30.81
32.01
42.80
44.18
22
41.64,
42.98
44.31
23
33.20
34.38
35.56
36.74
37.92
39.09
45.56
46.93
48.29
49.64
24
25
26
27
45.64
46.96
48.28
50.99
52.34
53.67
28
44.46
49.59
50.89
29
45.72
30
40.26
46.98
63.69
66.77
59.34
71.42
83.30
95.02
106.63
40
50
51.81
63.17
74.40
85.53
96.58
107.56
118.50
55.76
67.50
76.15
79.49
88.38
100.42
91.95
79.08
90.53
60
70
104.22
112.33
116.32
101.88
113.14
124.34
80
124.12
135.81
118.14
128.30
90
100
129.56
140.17
Table 8 of E. Pearson and H. O. Hartley, Bioinetrika Tables for Statisticians, 3rd ed. New York:
Cambridge University Press, 1966. Adapted and reprinted with permission of the Biometrika
trustees.
![CHI SQUARE GOODNESS OF FIT EXAMPLE QUESTION
1. The following table lists the frequency distribution for 60 rolls of a die.
2-spot
1-spot
Frequency 7
Outcome
3-spot
4-spot
5-spot
6-spot
12
9
14
11
7
Use a =.05 to test whether the die is fair.
STEP 1 Ho: The distribution of the 6 outcomes is the same
H1: The distribution of the 6 outcomes is different
STEP2 LOCATE CRITICAL REGION
df = C – 1
6-1
= 5
Chi square critical value = 11.07 (from chi-square table)
STEP 3 COMPUTE EXPECTED FREQUENCIES
fe = 1/6(60)
= 10
Outcome
1-spot
2-spot
3-spot
4-spot
5-spot
6-spot
fo
7
12
9
14
11
7
fe
10
10
10
10
10
10
STEP 4
x2
(fo - fe)2
Σ
fe
x? = [(7-10):/10] + [(12-10)/10] + [(9-10)/10] + [(14-10)/10] + [(11-10) /10] + [(7-
10)/10]
= 0.9 + 0.4 + 0.1 + 1.6 + 0.1 + 0.9
:4
4 < 11.07, fail to reject Ho
Therefore, the 6 outcomes are equally likely to be obtained. There is no significant
differences in the distribution of outcomes, x'(5, n = 60) = 4, p >.05. The die is fair](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb7c09c8-3b49-4e8b-94ee-a031f37ce4c3%2F15187170-58bf-40ca-aa81-128196e6ec0f%2Fntqzp9_processed.png&w=3840&q=75)
Transcribed Image Text:CHI SQUARE GOODNESS OF FIT EXAMPLE QUESTION
1. The following table lists the frequency distribution for 60 rolls of a die.
2-spot
1-spot
Frequency 7
Outcome
3-spot
4-spot
5-spot
6-spot
12
9
14
11
7
Use a =.05 to test whether the die is fair.
STEP 1 Ho: The distribution of the 6 outcomes is the same
H1: The distribution of the 6 outcomes is different
STEP2 LOCATE CRITICAL REGION
df = C – 1
6-1
= 5
Chi square critical value = 11.07 (from chi-square table)
STEP 3 COMPUTE EXPECTED FREQUENCIES
fe = 1/6(60)
= 10
Outcome
1-spot
2-spot
3-spot
4-spot
5-spot
6-spot
fo
7
12
9
14
11
7
fe
10
10
10
10
10
10
STEP 4
x2
(fo - fe)2
Σ
fe
x? = [(7-10):/10] + [(12-10)/10] + [(9-10)/10] + [(14-10)/10] + [(11-10) /10] + [(7-
10)/10]
= 0.9 + 0.4 + 0.1 + 1.6 + 0.1 + 0.9
:4
4 < 11.07, fail to reject Ho
Therefore, the 6 outcomes are equally likely to be obtained. There is no significant
differences in the distribution of outcomes, x'(5, n = 60) = 4, p >.05. The die is fair
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