Question

Regarding the definition of Type I and Type II error, which of the following is correct?

A) Type I error: Fail to reject the null hypothesis when it is actually false.

B) Type II error: Reject the null hypothesis when it is actually true.

C) The probability of Type I error is equal to the significance level.

D) Neither Type I error nor Type II error can be controlled by the experimenter.

Answer #1

**Solution:- C) The probability of Type I error is equal
to the significance level.**

A) Type I error: Fail to reject the null hypothesis when it is
actually false. **Not correct**.

A type I error is the rejection of a true null hypothesis.

B) Type II error: Reject the null hypothesis when it is actually
true. **Not correct.**

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

C) The probability of Type I error is equal to the significance
level. **Correct**.

The type I error rate or significance level is the probability of rejecting the null hypothesis when it is true. Mostly, the significance level is set to 0.05 (5%).

D) Neither Type I error nor Type II error can be controlled by
the experimenter. **Not correct.**

Type I error can be controlled by experimenter by increasing or decreasing the value of significance level.

Identify the type I error and the type II error for a hypothesis
test of the indicated claim.
The percentage of
households with more than 1households with more than 1
pet
is
greater
than
sixtyfive percent
Identify the type I error. Choose the correct answer below.
A. Reject the null hypothesis that the percentage of
households with more than 1households with more than 1
pet is greater than 65 %
when it is actually true.
B.
Fail to reject the...

Identify the type I error and the type II error that correspond
to the given hypothesis.
The percentage of households with more than 1households with
more than 1 pet is less than 65%.
Identify the type I error. Choose the correct answer below.
A.
Fail to reject the null hypothesis that the percentage of
households with more than 1 households with more than 1 pet is
equal to 65%
when that percentage is actually less than 65 %.
B.
Fail...

Which of the following statement is correct? a. Type I errors
can only occur if you fail to reject H0. b. Type II errors can only
occur when you reject H0. c. When the sample size increases, both
the probability of making Type I errors and the probability of
making Type II errors can decrease. d. The level of significance is
the probability of making a Type II error.

Question 1 : The answers listed below are characteristics of a
Type I error EXCEPT for one. Select the characteristic that is not
for Type I error
a) upsetting status quo for falsehood
b) a 'missed opportunity'
c) reject null hypothesis with null is true
question 2: The answers listed below are characteristics of a
Type II error EXCEPT for one. Select the characteristic that is not
for Type II error
a) do not reject null hypothesis when it is...

1 The probability of type II error becomes bigger if the level
of significance is changed from 0.01 to 0.05.
True
False
2
Increasing the sample size reduces the probability of committing
a Type I and Type II simultaneously.
True
False
3
In testing a hypothesis about a population mean with an unknown
population standard deviation (σ ) the degrees of freedom
is used in the denominator of the test statistic.
True
False
4
When a researcher fails to reject...

A Type I error occurs when __________ and its probability of
occuring is __________.
Select one:
a. we reject a true null hypothesis / alpha
b. we reject a true null hypothesis / 1 - alpha
c. we fail to reject a false null hypothesis / 1 - alpha
d. we fail to reject a false null hypothesis / alpha

Which of the following sentences best characterizes the
relationship among Type 1 error, Type II error, Sample Size, and
the power of hypothesis testing?
hypothesis testing does not rely on sample size, Type I or Type
II error
Type I error is inflated as Type II error decreases, neither is
related to sample size
When the sample size is small, there is a higher chance of
committing a Type II error and decreased power to reject the null
hypothesis
When...

1.Type 1 error is...
a.Correctly rejecting the null hypothesis.
b.Rejecting the null hypothesis when it’s actually true.
c.Correctly failing to reject the null hypothesis.
d.Failing to reject the null hypothesis when it’s actually
false.
2.Power is defined as the probability of...
a.Correctly rejecting the null hypothesis.
b.Correctly failing to reject the null hypothesis.
c.Failing to reject the null hypothesis when it’s actually
false.
d.Rejecting the null hypothesis when it’s actually true.
3. From Study Example 1: Based on the sample,...

(1 point)
Type I error is:
A. Deciding the null hypothesis is true when it is
false
B. Deciding the alternative hypothesis is true
when it is false
C. Deciding the null hypothesis is false when it
is true
D. Deciding the alternative hypothesis is true
when it is true
E. All of the above
F. None of the above
Type II error is:
A. Deciding the null hypothesis is false when
it is true
B. Deciding the alternative hypothesis...

Type I error is:
A. Deciding the alternative hypothesis is true
when it is false
B. Deciding the alternative hypothesis is true
when it is true
C. Deciding the null hypothesis is true when it is
false
D. Deciding the null hypothesis is false when it
is true
E. All of the above
F. None of the above
Type II error is:
A. Deciding the null hypothesis is false when it
is true
B. Deciding the null hypothesis is true...

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