People of all age groups can be infected by COVID-19. Data were collected from laboratory confirmed COVID-19 cases in Kalamazoo County (as of 3:00 PM April 2020) and are presented below. We are interested in testing (at 5% level of significance) whether the percentage of at least one age group differs significantly from the others. Age Group Cases 0-19 8 20-29 30-39 30 40-49 27 50-59 19 60-69 20 70-79 14 >79 23 Total 165 What are the appropriate null and alternative hypotheses for the Chi-Square test? 24

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People of all age groups can be infected by COVID-19. Data were collected from
laboratory confirmed COVID-19 cases in Kalamazoo County (as of 3:00 PM April 19,
2020) and are presented below. We are interested in testing (at 5% level of
significance) whether the percentage of at least one age group differs significantly
from the others.
Age Group
Cases
0-19
20-29
24
30-39
30
40-49
27
50-59
19
60-69
20
70-79
14
>79
23
Total
165
What are the appropriate null and alternative hypotheses for the Chi-Square test?
Transcribed Image Text:People of all age groups can be infected by COVID-19. Data were collected from laboratory confirmed COVID-19 cases in Kalamazoo County (as of 3:00 PM April 19, 2020) and are presented below. We are interested in testing (at 5% level of significance) whether the percentage of at least one age group differs significantly from the others. Age Group Cases 0-19 20-29 24 30-39 30 40-49 27 50-59 19 60-69 20 70-79 14 >79 23 Total 165 What are the appropriate null and alternative hypotheses for the Chi-Square test?
What are the appropriate null and alternative hypotheses for the Chi-Square test?
Hint: What would you expect for a frequency if there was no difference in
prevalence among the age groups below.
0.125, Р, 3D 0.125, Р3
0.125, P2 = 0.125, P3 = 0.125, P4
= 0.125
Ho:P1
0.125, Р, 3 0.125, Р,
%3D
H: At least one proportion differs from what is expected.
Но: Рi 3 0.10, Р2 — 0.20, Рз — 0.30, Р,
0.40,
Рs — 0.50 Р, — 0.60, Р, — 0.70, Рз — 0.80
H: At least one proportion differs from what is expected.
Ho: At least one proportion is the same as expected.
Hạ: All the proportions are different from expected.
HA:
0.59, P2 = 0.15, P3 = 0.18, P4 = 0.16, P5 = 0.125, P.
= 0.125
Ho:P1
0.125, P, = 0.125, Pg
%D
%3D
%3D
H: At least one proportion differs from what is expected.
Ho: P = 8, P2 = 24, P3 = 30, P4 = 27,Pg = 19,P, = 20, P, = 14, Pg = 23
H: At least one proportion differs from what is expected.
Transcribed Image Text:What are the appropriate null and alternative hypotheses for the Chi-Square test? Hint: What would you expect for a frequency if there was no difference in prevalence among the age groups below. 0.125, Р, 3D 0.125, Р3 0.125, P2 = 0.125, P3 = 0.125, P4 = 0.125 Ho:P1 0.125, Р, 3 0.125, Р, %3D H: At least one proportion differs from what is expected. Но: Рi 3 0.10, Р2 — 0.20, Рз — 0.30, Р, 0.40, Рs — 0.50 Р, — 0.60, Р, — 0.70, Рз — 0.80 H: At least one proportion differs from what is expected. Ho: At least one proportion is the same as expected. Hạ: All the proportions are different from expected. HA: 0.59, P2 = 0.15, P3 = 0.18, P4 = 0.16, P5 = 0.125, P. = 0.125 Ho:P1 0.125, P, = 0.125, Pg %D %3D %3D H: At least one proportion differs from what is expected. Ho: P = 8, P2 = 24, P3 = 30, P4 = 27,Pg = 19,P, = 20, P, = 14, Pg = 23 H: At least one proportion differs from what is expected.
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