If an individual rejects a true null hypothesis, then he/she has

Made a correct decision to reject null hypothesis

Increased the power of a statistical test

The quality control manager will use the following hypotheses to test his concern: $$H_o:\ \mu_k-\mu_m=0$$ $$H_a:\ \mu_k-\mu_m\ne0$$ Suppose the ketchup and mustard machines are filling the bottles with the same amount of product. If the results of the hypothesis test contradict this truth, which of the following must be true?

The assumptions and conditions for the test were not met

The sample that was selected was bias

Regulations from the EPA say that soil used in playgrounds should not have lead levels more than 400 ppm. Before beginning construction on a new site, a sample of soil is taken and tested. If the mean level of lead in this soil is significantly higher than 400 ppm, then construction cannot continue. Here are the hypotheses: $$H_0:\ \mu\ =\ 400\ ppm$$ $$H_a:\ \mu\ >\ 400\ ppm$$ Which of the following would be a type I error?

The soil is actually safe, and the sample is higher than 400 ppm, so construction stops

The soil is actually safe, the sample is below 400 ppm, so construction continues

The soil is actually unsafe, the sample is below 400 ppm, so construction continues

The soil is actually unsafe, and the sample is higher than 400 ppm, so construction stops

Regulations from the EPA say that soil used in playgrounds should not have lead levels more than 400 ppm. Before beginning construction on a new site, a sample of soil is taken and tested. If the mean level of lead in this soil is significantly higher than 400 ppm, then construction cannot continue. Here are the hypotheses: $$H_0:\ \mu\ =\ 400\ ppm$$ $$H_a:\ \mu\ >\ 400\ ppm$$ Which of the following would be a type II error?

The soil is actually unsafe, t he sample is below 400 ppm, so construction continues

The soil is actually safe, the sample is below 400 ppm, so construction continues

The soil is actually safe, and the sample is higher than 400 ppm, so construction stops

The soil is actually unsafe, and the sample is higher than 400 ppm, so construction stops

A large nationwide poll recently showed an unemployment rate of 9% in the US. The mayor of a local town wonders if this is true for her town, so she plans to take a sample of residents to see if the unemployment rate is significantly different than 9% in her town. Here are the hypotheses: $$H_0:\ p\ =\ 0.09$$ $$H_a:\ p\ \ne0.09$$ Which of the following would be a type I error?

She concludes the town's unemployment rate is not 9% when it actually is.

She concludes the town's unemployment rate is not 9% when it actually is not.

She concludes the town's unemployment rate is 9% when it actually is.

She concludes the town's unemployment rate is 9% when it actually is not.

A large nationwide poll recently showed an unemployment rate of 9% in the US. The mayor of a local town wonders if this is true for her town, so she plans to take a sample of residents to see if the unemployment rate is significantly different than 9% in her town. Here are the hypotheses: $$H_0:\ p\ =\ 0.09$$ $$H_a:\ p\ \ne0.09$$ Which of the following would be a type II error?

She concludes the town's unemployment rate is 9% when it actually is not.

She concludes the town's unemployment rate is not 9% when it actually is.

She concludes the town's unemployment rate is not 9% when it actually is not.

She concludes the town's unemployment rate is 9% when it actually is.

Suppose the quality control manager knows that Type II errors are the more serious of the two errors. Which of the following actions could help reduce the probability of making a type II error?

Increase the size of each of the samples.

Change the alternate hypothesis to a < or > symbol.

A Type II Error is committed when

You fail to reject null hypothesis that is really false

A true null hypothesis is rejected

You accept true null hypothesis

conceptual review for Hypothesis test

Quiz

•

Mathematics, Professional Development

•

1st Grade - Professional Development

•

Practice Problem

•

Medium

•

CCSS

HSS.IC.B.3, HSS.ID.A.3

Standards-aligned

Ehua Fan

Used 1+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the 5 steps procedure for hypothesis testing?

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Summarize the results

5) Make the decision (reject or not reject)

1) State the hypotheses and identify the claim

2) Compute the test value

3) Find the critical value

4) Make the decision (reject or not reject)

5) Summarize the results

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Make the decision (reject or not reject)

5) Summarize the results

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of a statement of a null hypothesis?

As the amount of sugar intake increases, your insulin also increases.

We have proves that Virus X is transmitted by droplets.

There is a significant difference between your grades in Math and Science.

There is no significant difference between the blood type and the weight of a person.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The null and alternative hypothesis can be the same.

Yes

No

Maybe

All the above

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a hypothesis test, the alternative hypothesis is always a statement of equality.

True

False

A statement that proposes that something is different, incorrect, or changed from what is accepted or claimed.

Research Question

Null Hypothesis

Alternative Hypothesis

Placebo Effect

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

H₀: μ = k
H₁: μ ≠ k

Left-tailed test

Two-tailed test

Right-tailed test

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

H₀: μ = k
H₁: μ > k

Left-tailed test

Right-tailed test

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conceptual review for Hypothesis test

25 questions

What is the 5 steps procedure for hypothesis testing?

Which of the following is an example of a statement of a null hypothesis?

The null and alternative hypothesis can be the same.

In a hypothesis test, the alternative hypothesis is always a statement of equality.

A statement that proposes that something is different, incorrect, or changed from what is accepted or claimed.

H₀: μ = k
H₁: μ ≠ k

H₀: μ = k
H₁: μ > k

H₀: μ = k
H₁: μ < k

Generally a statement of “no effect”, stating that there is no difference between what is claimed and what is measured.

If an individual rejects a true null hypothesis, then he/she has

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

conceptual review for Hypothesis test

25 questions

What is the 5 steps procedure for hypothesis testing?

Which of the following is an example of a statement of a null hypothesis?

The null and alternative hypothesis can be the same.

In a hypothesis test, the alternative hypothesis is always a statement of equality.

A statement that proposes that something is different, incorrect, or changed from what is accepted or claimed.

H0: μ = kH1: μ ≠ k

H0: μ = kH1: μ > k

H0: μ = kH1: μ < k

Generally a statement of “no effect”, stating that there is no difference between what is claimed and what is measured.

If an individual rejects a true null hypothesis, then he/she has

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

H₀: μ = k
H₁: μ ≠ k

H₀: μ = k
H₁: μ > k

H₀: μ = k
H₁: μ < k