Question

QUESTION 21
A p value is the probability of obtaining the value of the test statistic or more extreme, if the null hypothesis is true.

a.   True

b.   False

QUESTION 18
Type I error occurs when

a.   you reject a false null hypothesis

b.   you reject a true null hypothesis

c.   you fail to reject a false null hypothesis

d.   you fail to reject a true null hypothesis

QUESTION 19
Type II error occurs when

a.   you reject a false null hypothesis

b.   you reject a true null hypothesis

c.   you fail to reject a false null hypothesis

d.   you fail to reject a true null hypothesis

QUESTION 20
Power refers to the probability that

a.   you reject a false null hypothesis

b.   you reject a true null hypothesis

c.   you fail to reject a false null hypothesis

d.   you fail to reject a true null hypothesis

Answer 1

TOPIC:P-value,Type-I error,Type-II error,power of a test.

- Question - 21. The answer is as True. Explanation : - The is defined as p-value of a hypothesis testing, a p-value = p. of observing the test statistic on more extreme value] =P [of observing the ovalue e test - statistic on mone extreme when I Ho is true . SO the given statement is → Troue Con = Question - 18% The answer is - biy you neject a hypothesis, troue null Explanation is defined as > The type- I ennon Type- I ennon. - Rejecting Ho, when actually true. it is = Rejecting hypothesis a true null [ Ans]

= question - 18h The answer is → y You fail to reject the a false null hypothesis, * Explanation - In hypothesis testing the type- II error is defined as = Type - II error. = Ho, when it is Not rejecting actually false. I the false null failing to reject hypothesis, >> Question -20% The answer is → as you reject a false null hypothesis. =Y Explanation : we know, Power of a where test = (1-P). B-P (Type- II >

Now, B = P Not rejecting I to when He is actually false] So, Power = (1-P), So, Power = 1-P ( Not rejecting Ho, when to is 1- I actually false, ZP [ Rejecting Ho, when he is actually false - [ Rejecting a false nall by botheria – Probability of rejecting a false null hypothesis. [and]