Question

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 the sample size is small, there is a higher chance of committing a Type I error and increased power to reject the null hypothesis

Answer #1

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.

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...

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...

Can someone answer and explain how to do these problems?
1 Type II Error: For the roulette table in (Q6), determine which
hypothesis testing scenario has the larger Type II error
probability for a two-sided hypothesis for HO: p=18/19:
1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 ,
α=0.05.
2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96,
α=0.05.
3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97,
α=0.01.
Describe how the Type II error is influenced by...

What type of error occurs if you fail to reject (aka "accept")
H0 when, in fact, it is not true?
Question 1 options:
For a given sample size in hypothesis testing,
Question 2 options:
Type II error will not be effected by Type I error.
the smaller the Type I error, the larger the Type II error will
be.
the smaller the Type I error, the smaller the Type II error will
be.
the sum of Type I and Type...

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...

Can explain how to do these problems?
1 Type II Error: For the roulette table in (Q6), determine which
hypothesis testing scenario has the larger Type II error
probability for a two-sided hypothesis for HO: p=18/19:
1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 ,
α=0.05.
2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96,
α=0.05.
3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97, α=0.01.
Describe how the Type II error is influenced by N, p and...

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,...

A Type II error is committed when
Question 7 options:
a)
a true alternative hypothesis is mistakenly rejected
b)
a true null hypothesis is mistakenly rejected
c)
the sample size has been too small
d)
not enough information has been available

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...

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