Question

The distribution of race for COVID-19 deaths in Jefferson Paris through April of this year as well as the proportion of the population for each race (2018 is the latest data) is provided below. At the 1% level of significance, do the observed number of deaths in each race fit with the population proportion in Jefferson Parish? (Labels and data obtained from Lousiana Department of Health website on May 2, 2020

The distribution of race for COVID-19 deaths in Jefferson Paris through April of this year as well as the proportion of the population for each race (2018 is the latest data) is provided below. At the 1% level of significance, do the observed number of deaths in each race fit with the population proportion in Jefferson Parish? (Labels and data obtained from Lousiana Department of Health website on May 2, 2020.)

Population Race Proportion (2018)

Asian 0.04 Black 0.28 Other 0.02 White 0.66

Observed Deaths 5

178 4 139

Answer 1

Ans:

Chi square test for goodness of fit:

Race	fo	pi	fe	Chi square=(fo-fe)^2/fe
Asian	5	0.04	13.04	4.96
Black	178	0.28	91.28	82.39
other	4	0.02	6.52	0.97
white	139	0.66	215.16	26.96
Total	326	1	326	115.28

Test statistic:

Chi square=115.28

df=4-1=3

p-value=CHIDIST(115.28,3)=0.0000

Reject the null hypothesis.

There is sufficient evidence to conclude that the observed number of deaths in each race does not fit with the population proportion in Jefferson Parish.