Compute the value of the 2 test statistic 0 decimals The p v

Compute the value of the ² test statistic (0 decimals).


The p value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2

Based on the results of your hypothesis test, do the observed values in categories A, B, and C fit the proportions predicted by the null hypothesis?
- Select your answer -YesNoItem 3

What is the critical value for this ² test (to 3 decimals)?


Using the critical value, would you reject the null hypothesis?
- Select your response -YesNoItem 5

Solution

Doing an observed/expected value table,          
O   E   (O - E)^2/E  
60   80   5  
120   80   20  
20   40   10  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    35   [ANSWER, TEST STATICTIC]

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As df = a - 1,           
          
a =    3      
df = a - 1 =    2      
          
Thus, the p value is, using a table,          
          
P < 0.005. [ANSWER]

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As P < 0.01, we   REJECT THE NULL HYPOTHESIS.      
Based on the results of your hypothesis test, do the observed values in categories A, B, and C fit the proportions predicted by the null hypothesis? [NO, ANSWER]

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Using a table, at 0.01 level,

chi^2(crit) = 9.210 [ANSWER]

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As chi^2 > 9.210, we REJECT HO. [YES]