Search Header Logo

Stats Exam 4.1- Types of Errors

Authored by ERIC ANTHONY SOLIS

Mathematics

10th - 11th Grade

Used 11+ times

Stats Exam 4.1- Types of Errors
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The Ford Motor Company claims that its 2017 model of the Ford Escape averages more than 30 miles per gallon for highway driving. To investigate this claim, which of the following hypotheses is appropriate?

𝐻0: 𝜇 > 30 𝑚𝑝𝑔; 𝐻𝐴: 𝜇 < 30 𝑚𝑝𝑔

𝐻0: 𝜇 = 30 𝑚𝑝𝑔; 𝐻𝐴: 𝜇 > 30 𝑚𝑝g

𝐻0: 𝜇 = 30 𝑚𝑝𝑔; 𝐻𝐴: 𝜇 ≠ 30 𝑚𝑝𝑔

𝐻0: 𝜇 > 30 𝑚𝑝𝑔; 𝐻𝐴: 𝜇 = 30 𝑚𝑝𝑔

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The power of a test is denoted by:

1 – β

β

1 − α

α

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a true statement?

When a true parameter value is farther from the hypothesized value, it becomes easier to reject the alternative hypothesis.

A well-planned test of significance should result in a statement either that the null hypothesis is true or that it is false.

The null hypothesis is one-sided and expressed using either < or > if there is interest in deviations in only one direction.

Tests of significance (hypothesis tests) are designed to measure the strength of evidence against the null hypothesis.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The value set for  α\alpha   is known as:

the rejection level

the significance level

the acceptance level

the error in the hypothesis test

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given H0: µ = 25, Ha: µ ≠ 25, and P-value = 0.041. Do you reject or fail to reject H0 at the 0.01 level of significance?

fail to reject H0

not sufficient information to decide

reject H0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A test to screen for a serious but curable disease is similar to hypothesis testing, with a null hypothesis of

no disease, and an alternative hypothesis of disease. If the null hypothesis is rejected treatment will be

given. Otherwise, it will not. Assuming the treatment does not have serious side effects, in this scenario, it

is better to increase the probability of:

making a Type 1 error, providing treatment when it is not needed.

making a Type 1 error, not providing treatment when it is needed.

making a Type 2 error, providing treatment when it is not needed.

making a Type 2 error, not providing treatment when it is needed.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Researchers claim that 60 tissues is the average number of tissues a person uses during the course of a cold. The company who makes Kleenex brand tissues thinks that fewer of their tissues are needed. What are their null and alternative hypotheses?

H0: µ = 60 vs. HA: µ > 60

H0: µ = 60 vs. HA: µ < 60

H0: µ < 60 vs. HA: µ = 60

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?