Determine​ (a) the χ2 test​ statistic, (b) the degrees of​ freedom, (c) the critical value using α=0.05​,and​ (d) test the hypothesis at the α=0.05 level of significance. outcome A B C D     Observed   41 36 46 37 Expected   40 40 40 40   H0​: pA=pB=pC=pD=14 H1​: At least one of the proportions is different from the others.   ​(a) The test statistic is _____? ​(Type an exact​ answer.)

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Determine​ (a) the χ2 test​ statistic, (b) the degrees of​ freedom, (c) the critical value using α=0.05​,and​ (d) test the hypothesis at the α=0.05 level of significance.
outcome
A B C D  
 
Observed
  41 36 46
37
Expected
  40 40 40
40
 
H0​: pA=pB=pC=pD=14
H1​: At least one of the proportions is different from the others.
 
​(a) The test statistic is _____?
​(Type an exact​ answer.)
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