Question

Medical personnel are required to report suspected cases of child abuse. Because some diseases have symptoms that mimic those of child abuse, doctors who see a child with these symptoms must decide between two competing hypotheses:

H0: symptoms are due to child abuse

H1: symptoms are due to disease

(Although these are not hypotheses about a population characteristic, this problem illustrates the definitions of Type I and Type II errors.) The article “Blurred Line Between Illness, Abuse Creates Problem for Authorities” (Macon Telegraph, February 28, 2000) included the following quote from a doctor in Atlanta regarding the consequences of making an incorrect decision: “If it’s disease, the worst you have is an angry family. If it is abuse, the other kids (in the family) are in deadly danger.”

(a) For the given hypotheses, describe Type I and Type II errors.

(b) Based on the quote regarding consequences of the two kinds of error, which type of error does the doctor quoted consider more serious? Explain.

Answer 1

Answer:

Given,

Null hypothesis

Ho : symptoms are due to child abuse

Alternative hypothesis

Ha : symptoms are due to disease

The type I error is dismissing the Ho when it is genuine and type 2 error is tolerating Ho when it is false.

Here the type 1 error would choose that the side effects are not because of youngster maltreatment in actuality side effects are extremely because of kid misuse.

The type 2 error would choose that the indications are because of kid misuse however the truth of the matter is manifestations are not because of kid misuse.

A specialist statement with respect to the mistaken choice. i.e., If it is an illness, the most noticeably terrible you have is irate family. On the off chance that it is misuse, different children are in destructive risk.

In view of this, there are two mistake.

i.e., given beneath

Type 1 error would be most genuine blunder.

The explanation on the off chance that we report the side effects are not because of youngster misuse regardless of whether this is genuine at that point it's influencing the children with kid maltreatment alongside different children in that family.