7. A researcher would like to determine whether any particular age group has a greater risk of influenza-related death. A sample of 50 cases is categorized according to victim’s age. The observed frequencies are as follows:- Number of flu-related deathsUnder 3030 – 60Over 605540 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 α = .05 BHPY2044 STATISTICAL TECHNIQUES FOR PSYCHOLOGY IIThe Chi-Square Distribution**The table entries are critical values of x.CriticalProportion in Critical Region0.025df0.100.050.010.0055.027.386.637.882.714.613.849.2110.605.997.81236.259.35I 1.3412.847.7811.1413.2814.869.4911.07459.2412.8315.0916,7514.4516.8118.5510.6412.0213.3612.5914.0715.51716.0118.4820.2817.5320.0921.9619.0221.6723.5916.9218.31914.681015.9920.4823.2125.1926.7628.3029.8219.6821.9224.7217.2818.5519.8121.06111221.0323.3426.2224.7427.6922.3623.68131426.1229.1431.3230.5832.0032.8025.0026.3027.4928.851522.311623.5434.271724.7727.5930.1933.4135.7237.1638.581825.9928.8731.5334.8136.1930.1431.411927.2032.852028.4134.1737.5740.0038.9340.2941.4032.6733.9235.1736.4237.6538.8940,1141.3442.5643.7735.4836.7838.0839.3640.6541.9243.192129.6230.8132.0142.8044.182241.64,42.9844.312333.2034.3835.5636.7437.9239.0945.5646.9348.2949.642425262745.6446.9648.2850.9952.3453.672844.4649.5950.892945.723040.2646.9863.6966.7759.3471.4283.3095.02106.63405051.8163.1774.4085.5396.58107.56118.5055.7667.5076.1579.4988.38100.4291.9579.0890.536070104.22112.33116.32101.88113.14124.3480124.12135.81118.14128.3090100129.56140.17Table 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 Biometrikatrustees.

Solution : Given : N = 50 n = 3 α = 0.05 Age group Under 30 30-60 over…

Answered: 7. A researcher would like to determine…

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7. A researcher would like to determine whether any particular age group has a greater risk of influenza-related death. A sample of 50 cases is categorized according to victim’s age. The observed frequencies are as follows:-

Number of flu-related deaths
Under 30	30 – 60	Over 60
5	5	40

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 α = .05

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.

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