Use this data to determine whether plants growing in differe

Solution

We use chi-square test of independence here.

We set

alpha = 0.05.

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Doing an Expected Value Chart,          
          
9.52   24.48  
18.48   47.52
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    1.359533712      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    2      
b =    2      
          
df =    1      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    3.841458821      
          
Also, the p value is          
          
P =    0.24361831      
          
Thus, comparing chi^2 and chi^2(crit) [or, p and significance level], we   FAIL TO REJECT THE NULL HYPOTHESIS.      
          
Thus, there is no significant evidence that leaf type is dependent on soil type. [CONCLUSION]