Free Printable Hypothesis Test: Post 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.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

4.

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)

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

5.

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

6.

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

7.

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

8.

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.

9.

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.

10.

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.

11.

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125 tea-drinking employees which they prefer: green tea or black tea.

Here's Leo's null hypothesis:

H0:The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Leo to finish his null hypothesis?

a)

...not equal to 30%

b)

... equal to 30%

c)

... less than 30%

d)

... greater than 30%

12.

A fast-food company advertises that the pre-cooked weight for its burgers is, on average, 0.2 kg.

The company runs a regular quality control test that involves weighing a sample of burgers to see if the burgers are too light or too heavy. If the sample mean weight is significantly different than 0.2kg, then they recycle the entire batch. Choose the correct null and alternative hypotheses.

a)

Null hypothesis: average weight of the burgers in the sample = 0.2kg
Alternate Hypothesis: average weight of the burgers in the sample do not equal 0.2kg

b)

Null hypothesis: average weight of the burgers in the sample do not equal 0.2kg

Alternate Hypothesis: average weight of the burgers in the sample equal 0.2kg

c)

Null hypothesis: average weight of all burgers in the batch do not equal 0.2kg

Alternate Hypothesis: average weight of all burgers in the batch equal 0.2kg

d)

Null hypothesis: average weight of all burgers in the batch equal 0.2kg

Alternate Hypothesis: average weight of all burgers in the batch do not equal 0.2kg

13.

What is specificity?

a)

failing to reject the null hypothesis when the null hypothesis is true

b)

failing to reject the null hypothesis when the alternative hypothesis is true

c)

rejecting the null hypothesis when the null hypothesis is true

d)

rejecting the null hypothesis when the alternative hypothesis is true

14.

What is sensitivity?

a)

failing to reject the null hypothesis when the null hypothesis is true

b)

failing to reject the null hypothesis when the alternative hypothesis is true

c)

rejecting the null hypothesis when the alternative hypothesis is true

d)

rejecting the null hypothesis when the null hypothesis is true

15.

What is a Type II Error

a)

accepting the null hypothesis when the null hypothesis is true

b)

fail to reject the null hypothesis when the alternative hypothesis is true

c)

rejecting the null hypothesis when the null hypothesis is true

d)

rejecting the null hypothesis when the alternative hypothesis is true

16.

What is a Type I Error

a)

accepting the null hypothesis when the null hypothesis is true

b)

accepting the null hypothesis when the alternative hypothesis is true

c)

rejecting the null hypothesis when the null hypothesis is true

d)

rejecting the null hypothesis when the alternative hypothesis is true

17.

Which element of a test hypothesis is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis?

a)

population

b)

sample

c)

test statistic

d)

confidence interval

18.

Which hypothesis is the research hypothesis?

a)

null hypothesis

b)

alternate hypothesis

c)

Type I Error

d)

Type II Error

19.

Which hypothesis is the status quo hypothesis?

a)

null hypothesis

b)

alternative hypothesis

c)

Type I Error

d)

Type II Error

20.

A statistical inference is

a)

a guess

b)

taking a conclusion from a sample and applying it to the population

c)

taking a conclusion from a population and applying it to a sample

d)

designing and creating a statistical experiment

Hypothesis Test: Post Test

Total questions: 20

Worksheet time: 10mins

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