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Table 3:

Results of a hypergeometric test checking the H0 hypothesis that the frequency p of stars above the dividing line is the same on both sides of the Sb threshold value.

Case
Sb $\sigma_0 > 3$ $\sigma_0 \le 3$ Ni pi =xi/Ni $\tilde{x_1}$ $\sigma_{x1}$ c2 $\alpha$
Sample I $\ge$4.5 $x_1 =\phantom{1} 5^a$ 154 159 0.031 5.77 2.03 0.145 0.35
  <4.5 x2 = 17 430 447 0.038        
  All x3 = 22 584 606 0.036        
Sample I $\ge$5.0 3 104 107 0.028 3.88 1.76 0.253 0.31
  <5.0 19 480 499 0.038        
  All 22 584 606 0.036        
Sample I $\ge$6.0 3 60 63 0.048 2.29 1.41 0.257 0.31
  <6.0 19 524 543 0.035        
  All 22 584 606 0.036        
    $\sigma_0 > 0.57 Sb$ $\sigma_0 \le 0.57 Sb$            
Sample I $\ge$5.0 2 105 107 0.019 6.36 2.22 3.85 0.025
  <5.0 34 465 499 0.068        
  All 36 570 606 0.059        
    $\sigma_0 > 0.23 Sb + 0.2$ $\sigma_0 \le 0.23 Sb+0.2$            
Sample II $\ge$5.0 1 28 29 0.034 3.43 1.64 2.189 0.069
  <5.0 29 196 225 0.129        
  All 30 224 254 0.118        

a Subscripts 1, 2, and 3 denote quantities for stars above the dividing line, below it, and the total number, respectively.


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