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You give the latest test for “Belief in Santa Claus” from Canadian Living magazi

ID: 3321854 • Letter: Y

Question

You give the latest test for “Belief in Santa Claus” from Canadian Living magazine to your little brother. According to the test, if the child answers more than 10 of the questions with the correct “Santa answer”, then the child is declared to still believe in Santa Claus. From that perspective, describe with reference to the test (a) what would be a Type I error for the test? (b) what would constitute a Type II error for the test? (c) what would correspond to the power of the test? (d) what corresponds to the criterion of the test?

Explanation / Answer

solution:

Table for explination:

Reject Ho

Here, accept Ho and Reject Ho is true decision of the test. but other two situation is incorrect decision.

where,

(a)Type I error- probability Reject the the null hypothesis when decision cretirean is True.mean child gives correct answer more than 10 quesion but still child doesnot belief in santa.

(b)

Type II error-probability of Accept the the null hypothesis when decision cretirean is false.mean child does not gives correct answer more than 10 quesion but still child belief in santa.

(c)

power of the test is 1-type II error.

or can say that reject the null hypothesis is when child does not gives correct answer more than 10 question.

(d)

child gives correct answer more than 10 is the correspond of the test.

Test outcomes Child belief in santa child not belief in santa answer correct more than10 que. Accept Ho type I error answer does not correct more then 10 type II error

Reject Ho

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