Question

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

Answer 1

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 O_i is observed value,

E_i 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.