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Suppose a plug-in MLE of a characteristic ( ) is given by 5.3. Also a P-value was computed to assess the hypothesis H0 : (

Suppose a plug-in MLE of a characteristic ( ) is given by 5.3. Also a P-value was computed to assess the hypothesis H0 : ( ) = 5 and the value was 0.000132. If you are told that differences among values of ( ) less than 0.5 are of no importance as far as the application is concerned, then what do you conclude from these results? Suppose instead you were told that differences among values of ( ) less than 0.25 are of no importance as far as the application is concerned, then what do you conclude from these results?

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