Question

Describe each of the errors in hypothesis testing below:

(a) under what circumstances does a Type I error occur?

(b) under what circumstances does a Type II error occur?

Answer #1

(a) under what circumstances does a Type I error occur?

Type I error is the error of rejecting the null hypothesis when it is actually true. Type I error is known as "error of the first kind".

(b) under what circumstances does a Type II error occur?

Type II error is the error of not rejecting a null hypothesis
when the alternative hypothesis is true. Type II error is known as
"error of the second kind". The probability of *not*
committing a Type II error is called the **power** of
a hypothesis test.

Describe type I and type II errors for a hypothesis test of the
indicated claim. A shoe store claims that at least 80% of its new
customers will return to buy their next pair of shoes.
Describe the type I error. Choose the correct answer below:
a) A type I error will occur when the actual proportion of new
customers who return to buy their next pair of shoes is no more
than 0.80 but you reject H0: p≤0.80.
b)...

What are the steps in hypothesis testing?
What is the goal of hypothesis testing?
What are null and alternative hypotheses?
In §9.2 the concepts of Type I and Type II errors are
introduced.Consider the situation where a husband and wife go to
the doctor’s office to each get some tests run and the doctor
accidentally mixes up their charts. The doctor comes into the
exam room with the results of the tests and declares that the wife
is NOT pregnant but...

Discuss
the four potential outcomes of hypothesis testing and describe what
is meant by type 1 and type 2 errors. Provide an example of when
these errors might occur.

discuss the four potential outcomes of hypothesis testing and
describe what is meant by type 1 and type 2 errors. provide an
example when these errors might occur

Type I and Type II Errors
The information for a particular area and radon testing is as
follows:
3 of 100 homes have radon gas problems
A test for radon gas is 85% accurate
The test is performed in 10,000 homes in this area
a. Using the table below, create a matrix similar to the one in
the Type I-Type II error notes.
Label the cells as true positives, false positives, false
negatives, true negatives and Type I and Type...

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.

Chapter 4, Section 4, Exercise 139-143
Type I and Type II Errors
In the situation below, describe what it means in that context to
make a Type I and Type II error.
Testing to see whether taking a vitamin supplement each day has
significant health benefits. There are no (known) harmful side
effects of the supplement.
Making a Type I error means:
People should not take any kind of vitamin supplements.
Fail to detect that the supplements are beneficial, when...

What would be a Type I error when doing hypothesis testing?

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...

Imagine that you are testing an experimental drug that is
supposed to reduce blood pressure but is suspected of inducing
cancer. You administer the drug to a sample of rodents. Since you
know that the tumor rate in this strain is 10% among untreated
animals, your null hypothesis (the one which includes an equals
sign) is that the tumor rate in treated animals is less than or
equal to 10%, that is, the drug is safe, it does not cause...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 12 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago