Free Printable conceptual review for Hypothesis test

1.

What is the 5 steps procedure for hypothesis testing?

a)

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)

b)

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

c)

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.

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

a)

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

b)

We have proves that Virus X is transmitted by droplets.

c)

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

d)

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

3.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

4.

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

a)

True

b)

False

5.

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

a)

Research Question

b)

Null Hypothesis

c)

Alternative Hypothesis

d)

Placebo Effect

6.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

7.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

8.

H₀: μ = k

H₁: μ < k

a)

Left-tailed test

b)

Right-tailed test

9.

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

a)

Null Hypothesis

b)

Placebo Effect

c)

Alternative Hypothesis

d)

Control Group

10.

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

a)

Made a correct decision to reject null hypothesis

b)

Made Type II Error

c)

Increased the power of a statistical test

d)

Made Type I Error

11.

A quality control manager at the Heinz bottling factory is concerned there is a difference between the amount of product put in the (k)etchup and (m)ustard containers, even though both are supposed to be the same.

Which of the following is the correct hypotheses to test this this situation?

a)

$H_o:\ \mu_k-\mu_m=0$
$H_a:\ \mu_k-\mu_m>0$

b)

$H_o:\ \mu_k-\mu_m=0$
$H_a:\ \mu_k-\mu_m<0$

c)

$H_o:\ \mu_k-\mu_m=0$
$H_a:\ \mu_k-\mu_m\ne0$

d)

$H_o:\ \mu_k-\mu_m\ne0$
$H_a:\ \mu_k-\mu_m=0$

12.

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis?

a)

H₀ = 18.4
H_a = 18.4

b)

H₀ = 18.4
H_a > 18.4

c)

H₀ = 18.4
H_a < 18.4

d)

H₀ = 18.4
H_a ≠ 18.4

13.

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?

a)

A type I error has been made

b)

A type II error has been made

c)

The assumptions and conditions for the test were not met

d)

The sample that was selected was bias

14.

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?

a)

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

b)

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

c)

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

d)

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

15.

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?

a)

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

b)

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

c)

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

d)

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

16.

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?

a)

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

b)

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

c)

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

d)

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

17.

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?

a)

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

b)

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

c)

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

d)

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

18.

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?

a)

Reduce $\alpha$

b)

Increase $\beta$

c)

Increase the size of each of the samples.

d)

Change the alternate hypothesis to a < or > symbol.

19.

A Type II Error is committed when

a)

A true null hypothesis is rejected

b)

You accept true null hypothesis

c)

You fail to reject null hypothesis that is really false

d)

You reject null hypothesis

20.

In a hypothesis test, the probability of obtaining a value of test statistic equal to or even more extreme than the value observed given the null hypothesis is true, is referred to as:

a)

Type II Error

b)

Statistical Power

c)

Type I Error

d)

The p-value

21.

Which curve has the greater standard deviation?

a)

Red

b)

Black

c)

Blue

22.

It is the degree of assurance or certainty that a particular statistical statement is correct under specified conditions.

a)

Area of Rejection

b)

Hypothesis Testing

c)

Level of Confidence

d)

Alternative Hypothesis

23.

It is the degree of uncertainty or doubtfulness about the statistical statement under the same conditions. Usually, the researcher uses a 1 to 10%.

a)

Area of Rejection

b)

Hypothesis Testing

c)

Level of Significance

d)

Alternative Hypothesis

24.

If Ho: $\mu$ = A then _______ .

a)

Ha: undefined = A

b)

Ha: undefined $\ne$ A

c)

Ha: undefined $\ge$ A

d)

all of the above

25.

If Ho: $\mu$ $>$ A then _______ .

a)

Ha: undefined $\le$ A

b)

Ha: undefined $\ne$ A

c)

Ha: undefined $\ge$ A

d)

all of the above

conceptual review for Hypothesis test

Total questions: 25

Worksheet time: 30mins

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