researcher conclude that risk differs with age? Test at a = .05 8. A researcher is investigating the relationship between academic performance and self-esteem. A sample of n-150 twelve year old children is obtained, and each chile is classified by level of academic performance and level of self-esteem. The frequency distribution for this sample is shown in the table below. Academic Performance Self Esteem Low Medium High Low 34 43 13 High 11 32 17 Is there a relationship between academic performance and level of self-esteem? Test at a = .05 9. Recent recession and bad economic conditions forced many people to hold more than ronSnho held more than one job produced the following

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Hi I have a problem on question 8. How do I identify whether it's a chi square independent or chi square goodness of fit. And can you please show me the hand calculations methods without using Excel. Like show every step on how to do the question do that I can understand the steps clearly. Also attached the chi square critical table.
2.
Note that in the city from which the sample was selected, 30% of the population is in
the "under 30" bracket, 40% is in 30 -60", and 30% is in "over 60". Can the
researcher conclude that risk differs with age? Test at a= .05
8. A researcher is investigating the relationship between academic performance and
self-esteem. A sample of n-150 twelve year old children is obtained, and each child
is classified by level of academic performance and level of self-esteem. The
frequency distribution for this sample is shown in the table below.
Academic
Performance
Self Esteem
Low
Medium
High
Low
34
43
13
High
32
17
I
Is there a relationship between academic performance and level of self-esteem? Test
at a = .05
9. Recent recession and bad economic conditions forced many people to hold more than
Tho held more than one job produced the following
€ 50
Transcribed Image Text:2. Note that in the city from which the sample was selected, 30% of the population is in the "under 30" bracket, 40% is in 30 -60", and 30% is in "over 60". Can the researcher conclude that risk differs with age? Test at a= .05 8. A researcher is investigating the relationship between academic performance and self-esteem. A sample of n-150 twelve year old children is obtained, and each child is classified by level of academic performance and level of self-esteem. The frequency distribution for this sample is shown in the table below. Academic Performance Self Esteem Low Medium High Low 34 43 13 High 32 17 I Is there a relationship between academic performance and level of self-esteem? Test at a = .05 9. Recent recession and bad economic conditions forced many people to hold more than Tho held more than one job produced the following € 50
BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II
The Chi-Square Distribution
*The table entries are critical values of x
Crifical
Proportion in Critical Region
0.025
0.10
0.05
0.01
0,005
6.63
7.88
10.60
12.84
14.86
16.75
18.55
20.28
21.96
23.59
25.19
5.02
7.38
2.71
3.84
2
4.61
9.21
6.25
7.78
9.24
10.64
12.02
13.36
14.68
15.99
5.99
7.81
9.49
11.07
12,59
14.07
15.51
16.92
18.31
11.34
13.28
15.09
16.81
18.48
20.09
9.35
IL.14
12.83
14.45
16.01
17.53
19.02
20.48
5
7
8.
9
21.67
10
23.21
17.28
18.55
19.81
21.06
22.31
23.54
24.77
25.99
27.20
28.41
19.68
21.03
22.36
23.68
25.00
26.30
27.59
28.87
30.14
31.41
24.72
26.22
27.69
29.14
30.58
32.00
33.41
34.81
36.19
37.57
26.76
28.30
29.82
31.32
32.80
34.27
35.72
37.16
38.58
11
21.92
12
23.34
13
24.74
14
26.12
15
27.49
16
28.85
17
30.19
18
31.53
19
32.85
20
34.17
40.00
38.93
40.29
41.64
42.98
44.31
45.64
46.96
48.28
49.59
50.89
41.40
42.80
32.67
33.92
35.17
36.42
37.65
38.89
40.11
35.48
36.78
38.08
39.36
40.65
41.92
21
29.62
30.81
32.01
33.20
34.38
22
23
44.18
24
45.56
46.93
48.29
25
26
27
28
35.56
36.74
37.92
39.09
40.26
43.19
44.46
45.72
49.64
41.34
42.56
43.77
50.99
52.34
53.67
29
30
46.98
63.69
66.77
59.34
71.42
40
50
60
70
80
90
100
51.81
55.76
79.49
91.95
104.22
16.32
63.17
67.50
76.15
88.38
100.42
74.40
83.30
95.02
106.63
118.14
129.56
79.08
85.53
96.58
107.56
118.50
90.53
101.88
112.33
124.12
135.81
113.14
128.30
124.34
140.17
Table 8 of E. Pearson and H. O. Hartley, Bionetrika Tables for Statisticians, 3rd ed. New York:
Cambridge Univernity Press, 1966. Adapted and reprinted with permission of the Biometrika
trustees.
Transcribed Image Text:BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY II The Chi-Square Distribution *The table entries are critical values of x Crifical Proportion in Critical Region 0.025 0.10 0.05 0.01 0,005 6.63 7.88 10.60 12.84 14.86 16.75 18.55 20.28 21.96 23.59 25.19 5.02 7.38 2.71 3.84 2 4.61 9.21 6.25 7.78 9.24 10.64 12.02 13.36 14.68 15.99 5.99 7.81 9.49 11.07 12,59 14.07 15.51 16.92 18.31 11.34 13.28 15.09 16.81 18.48 20.09 9.35 IL.14 12.83 14.45 16.01 17.53 19.02 20.48 5 7 8. 9 21.67 10 23.21 17.28 18.55 19.81 21.06 22.31 23.54 24.77 25.99 27.20 28.41 19.68 21.03 22.36 23.68 25.00 26.30 27.59 28.87 30.14 31.41 24.72 26.22 27.69 29.14 30.58 32.00 33.41 34.81 36.19 37.57 26.76 28.30 29.82 31.32 32.80 34.27 35.72 37.16 38.58 11 21.92 12 23.34 13 24.74 14 26.12 15 27.49 16 28.85 17 30.19 18 31.53 19 32.85 20 34.17 40.00 38.93 40.29 41.64 42.98 44.31 45.64 46.96 48.28 49.59 50.89 41.40 42.80 32.67 33.92 35.17 36.42 37.65 38.89 40.11 35.48 36.78 38.08 39.36 40.65 41.92 21 29.62 30.81 32.01 33.20 34.38 22 23 44.18 24 45.56 46.93 48.29 25 26 27 28 35.56 36.74 37.92 39.09 40.26 43.19 44.46 45.72 49.64 41.34 42.56 43.77 50.99 52.34 53.67 29 30 46.98 63.69 66.77 59.34 71.42 40 50 60 70 80 90 100 51.81 55.76 79.49 91.95 104.22 16.32 63.17 67.50 76.15 88.38 100.42 74.40 83.30 95.02 106.63 118.14 129.56 79.08 85.53 96.58 107.56 118.50 90.53 101.88 112.33 124.12 135.81 113.14 128.30 124.34 140.17 Table 8 of E. Pearson and H. O. Hartley, Bionetrika Tables for Statisticians, 3rd ed. New York: Cambridge Univernity Press, 1966. Adapted and reprinted with permission of the Biometrika trustees.
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