in the united state court system, the defendant is considered innocent until evidence are provided to prove guilty. in our hypothesis testing framework, which term describes the situation that a defendant is guilty but there is no sufficient evidence for a guilty verdict?

Our legal system operates under the presumption that "the defendant is innocent until proven guilty." In other words, we presume the defendant is not guilty.

The general concept of hypothesis testing can frequently be observed in action in criminal trials held in the United States. Our legal system operates under the presumption that "the defendant is innocent until proven guilty." In other words, we presume the defendant is not guilty.

When we express our two competing hypotheses in statistical practice — the null hypothesis (H0) and the alternative hypothesis — we are making our starting assumption (HA). Our theories on this case are:

H0: The defendant is innocent (innocent)

HA: The accused is guilty.

In statistics, we always presumptively reject the null hypothesis. This means that we always start with the null hypothesis.

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