Answer:
The researcher has made a mistake chi-square statistic can never be negative
Step-by-step explanation:
Pearson's chi-squared test
[tex]\sum_{i=1}^kp_i=1[/tex]
[tex]\sum_{i=1}^km_i=n\sum_{i=1}^kp_i=\sum_{i=1}^kx_i[/tex]
[tex]\chi^2=\sum_{i=1}^k\frac{(x_i-m_i)^2}{m_i}=\sum_{i=1}^k\frac{x_i^2}{m_i}-n[/tex]
Where
[tex]x_i[/tex]= Observed numbers
n = Number of observations
k = Mutually exclusive classes
[tex]p_i[/tex]= Probability of events
[tex]m_i=np_i[/tex]
So, the value of χ² can never be negative otherwise χ value will be an imaginary number.
