Question

Explain how a court trial is like hypothesis testing. Include the steps of a hypothesis test and why a verdict is "not guilty" instead of innocent.

Answer 1

we can take an example " In the case of adultration in newly introduced vitamin capsule, court will take strict action against pharma company if it effect more than 20% of people , you conduct a research and found that 15 or 250 people got effected by vitamin capsule, is it sufficient evidence for the the court to take strict action against pharma company"

in the above problem of hypothesis we have two option only we can tell if " take strict action against pharma company or fail to take take strict action "

we can't give exact result in hypothesis testing like he is 19 % guilty ....we can tell only if it is fail to be guilty or guilty.

as the example problem you have sample proportion, from it you need to compare it with population, then calculate test statistics, after it p-value . to make decision need to compare p-value and alpha.

if alpha is greater than p-vaule we reject null hypothesis and alternate hypothsis become true.

if alpha is smaller than p-vle we fail to reject null hypothisis and cant make any conclusion about altername hypothisis.

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