If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why or why not? Choose the correct answer below. O A. Yes, if the test conditions are satisfied and the p-value is smaller than the significance level, then the null hypothesis is proven to be false. B. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the significance level is appropriately small. O C. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the power is appropriately large. O D. No; we don't use prove because we cannot be 100% sure of conclusions based on chance processes.

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If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why or why not?
Choose the correct answer below.
O A. Yes, if the test conditions are satisfied and the p-value is smaller than the significance level, then the null hypothesis is proven to be false.
B. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the significance level is
appropriately small.
C. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the power is
appropriately large.
O D. No; we don't use prove because we cannot be 100% sure of conclusions based on chance processes.
Transcribed Image Text:If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why or why not? Choose the correct answer below. O A. Yes, if the test conditions are satisfied and the p-value is smaller than the significance level, then the null hypothesis is proven to be false. B. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the significance level is appropriately small. C. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the power is appropriately large. O D. No; we don't use prove because we cannot be 100% sure of conclusions based on chance processes.
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