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Homework answers / question archive / Three of the following statements are true, and one is false
Three of the following statements are true, and one is false. Which one is false? O If p-value = .002 and a = .01, then you would Fail to Reject HO. O If p-value = .023 and a = .05. then you would Reject HO. O If p-value = .200 and a = .05, then you would Fail to Reject HO. If p-value = .023 and a = .01, then you would Fail to Reject HO.
Option 1: False
p-value = 0.002 and alpha = 0.01
0.002 < 0.01 , Reject H0
Step-by-step explanation
A p—value is the probability of getting a value of the the sample test statistic that is at least as extreme as the one found from the sample data, assuming that the null hypothesis is true. By extreme we mean: far from what we would expect to observe if the null hypothesis is true. Hence; The decision rule: Reject H0 if the p-value < alpha
Option 1: False
p-value = 0.002 and alpha = 0.01
0.002 < 0.01 , Reject H0
Option 2: True
p-value = 0.023 and alpha = 0.05
0.023 < 0.05 , Reject H0
Option 3: True
p-value = 0.200 and alpha = 0.05
0.200 > 0.05 , Fail to Reject H0
Option 4: True
p-value = 0.023 and alpha = 0.01
0.023 > 0.01 , Fail to Reject H0
