Identify the type I error and the type II error that corresponds to the given hypothesis.
The proportion of people who write with their left hand is equal to 0.29.
Which of the following is a type I error?
A. Reject the claim that the proportion of people who write with their left hand is 0.29
when the proportion is actually different from 0.29.
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.
C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.
D. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 .
Which of the following is a type II error?
A. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.
C. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.
D. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Question

contestada

Respuesta :

AlonsoDehner AlonsoDehner · Answer 1 · 2019-08-10T07:59:55+02:00

Answer:

Step-by-step explanation:

In Statistics, a type I error is the rejection of a true null hypothesis

and a type II error is the non-rejection of a false null hypothesis

Given that p = 0.29 is accepted

Now type I error is

C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

i.e. (false positive)

and type II error here is

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.