A case control study was carried out to investigate the relationship between Vitamin D levels and individuals who contracted COVID-19 needing hospitalisation. Table 2 shows the results of the study. Table 2 Vitamin D levels Optimal >25ng/mL Mild deficiency 10ng/mL-24ng/mL Severe deficiency >10ng/mL Total Hospitalised with COVID-19 No Yes 33 98 25 156 44 148 12 204 Total 77 246 37 360 (a) Calculate the chi-squared test statistic for the association between Vitamin D levels and needing hospitalisation for individuals who contract COVID19. (b) How many degrees of freedom are there?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A case control study was carried out to investigate the relationship
between Vitamin D levels and individuals who contracted COVID-19
needing hospitalisation. Table 2 shows the results of the study.
Table 2
Vitamin D levels
Optimal >25ng/mL
Mild deficiency 10ng/mL-24ng/mL
Severe deficiency >10ng/mL
Total
Hospitalised with COVID-19
Yes
No
33
98
25
156
V
44
148
12
0.90 0.95 0.975 0.99 0.995 0.999
1 2.71 3.84 5.02 6.63 7.88 10.83
7.38 9.21 10.60
9.35 11.34 12.84
2 4.61 5.99
3 6.25 7.81
4 7.78 9.49
13.82
16.27
11.14 13.28 14.86 18.47
204
Total
(b) How many degrees of freedom are there?
Table 3: Selected Quantiles for chi-squared distributions
(a) Calculate the chi-squared test statistic for the association between
Vitamin D levels and needing hospitalisation for individuals who
contract COVID19.
77
246
37
360
Transcribed Image Text:A case control study was carried out to investigate the relationship between Vitamin D levels and individuals who contracted COVID-19 needing hospitalisation. Table 2 shows the results of the study. Table 2 Vitamin D levels Optimal >25ng/mL Mild deficiency 10ng/mL-24ng/mL Severe deficiency >10ng/mL Total Hospitalised with COVID-19 Yes No 33 98 25 156 V 44 148 12 0.90 0.95 0.975 0.99 0.995 0.999 1 2.71 3.84 5.02 6.63 7.88 10.83 7.38 9.21 10.60 9.35 11.34 12.84 2 4.61 5.99 3 6.25 7.81 4 7.78 9.49 13.82 16.27 11.14 13.28 14.86 18.47 204 Total (b) How many degrees of freedom are there? Table 3: Selected Quantiles for chi-squared distributions (a) Calculate the chi-squared test statistic for the association between Vitamin D levels and needing hospitalisation for individuals who contract COVID19. 77 246 37 360
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