Test the hypothesis that educational attainment does not depend on socio economic status for the following 100 persons in a particular community. ∝= 5%
Socioeconomic status/ Educ. Attainment is Poor , Finished College is 18 Did not finished college is 10. Middle Class: Finished College is 28, did not finished college is 25. Rich: finished college is 15 and did not finished college is 5
Chi-Square test
"H_0:" sales and store location are independent
"H_a:" sales and store location are dependent
using online calculator www.socscistatistics.com, we get:
"\\chi^2=\\sum\\frac{(O_i-E_i)^2}{E_i}"
where Oi is observed value,
Ei is expected of cell:
"E_i=\\frac{(row\\ total)(column\\ total)}{total\\ number}"
"df=(rows-1)(columns-1)=(2-1)(3-1)=2"
The chi-square statistic is 3.2288. The p-value is 0.199013
Since p-value > 0.05, we accept the null hypothesis.
Educational attainment does not depend on socio economic status.
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