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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 innocent but gets a guilty verdict?

User Terrell
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A Type I error, akin to a wrongful guilty verdict for an innocent defendant, occurs in hypothesis testing when the null hypothesis is true, but the test incorrectly indicates significance, falsely concluding an effect exists.

In the realm of hypothesis testing, a Type I error parallels a situation where someone presumed innocent is incorrectly convicted. This error arises when the null hypothesis, stating no effect or no difference, is true, yet the test suggests otherwise, leading to a false positive conclusion.

In legal terms, it's akin to wrongly finding a defendant guilty despite their actual innocence. This error often stems from statistical significance thresholds, where evidence appears to support a hypothesis when, in reality, it's due to random chance or factors unrelated to the hypothesis.

To mitigate Type I errors, researchers and legal systems strive to set stringent criteria for evidence, aiming to minimize the likelihood of convicting an innocent defendant or falsely rejecting a true null hypothesis.

User Nunorbatista
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