Question

How is the significance level related to the probability of a
Type I error?

Answer #1

What is the definition of Type I error? When does it occur? How
is it related with level of significance? Explain.

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...

What is the difference between Type 1 and Type II error? How is
Type I error related to α? How is Type II error related to
power?

The probability of committing a Type I error when the null
hypothesis is true as an equality is
a. The confidence level
b. p
c. Greater than 1
d. The level of significance

Using the .01 criterion of significance, the probability of
making a Type II error is _____? Please explain how the
probability using a = .01 is different for Type 1 and Type II
errors.

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.

What is the level of significance or α? How is this related to
the p value in significance testing? How are both related to
probability?

For the given significance test, explain the meaning of a Type I
error, a Type II error, or a correct decision as specified. A
health insurer has determined that the "reasonable and customary"
fee for a certain medical procedure is $1200. They suspect that the
average fee charged by one particular clinic for this procedure is
higher than $1200. The insurer performs a significance test to
determine whether their suspicion is correct using α = 0.05. The
hypotheses are:
H0:...

The p-value is greater than the significance level.
(a) We can have a Type I error
(b) The absolute value of the test statistic is less than the
absolute value of the t critical value
(c) If we had used a larger value for alpha the p-value would
have been smaller
(d) We must have had a two tail test

Typically, when we decrease the probability of a type I error
for a hypothesis test, we:
decrease the probability of a type II error
increase the probability of a type II error

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