Question

In: Statistics and Probability

Q49-Q50 An experiment was done to determine if a program designed to improve the dental health...

Q49-Q50

An experiment was done to determine if a program designed to improve the dental

health of young girls and boys was effective.

A. concluding that the program did improve dental health when it really did not

B. concluding that the program did not improve dental health when it really did not

C. concluding that the program did improve dental health when it really did

D. concluding that the program did not improve dental health when it really did

Q48 Which of the above statements describes a Type I error?

Q49 Which of the above statements describes a Type II error?

Q50 Which of the above statements describes statistical power?

Solutions

Expert Solution

(48) type I error is defined as rejecting a true null hypothesis.

true null hypothesis in this case will be "program did not improve"

So, type I error will be the conclusion that program did improved, when it really did not improved.

option A is correct

(49) type II error is defined as failing to reject a false null hypothesis

true null hypothesis in this case will be "program did not improve"

So, type II error will be the conclusion that program did not improved, when it really did improved.

option D

(50) statistical power is probability of rejecting the null hypothesis when it is false. This means statement for statistical power will be the rejection of null hypothesis when it is false. In this case, rejecting the statement that it did not improved, when it really did not improved.

Statistical statement will be  "concluding that the program did improve dental health when it really did"

option C


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