Quiz about conceptual review for Hypothesis test

Question 1

What is the 5 steps procedure for hypothesis testing?

Accepted Answer

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

Answer

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)

Answer

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

Question 2

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

Accepted Answer

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

Answer

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

Answer

We have proves that Virus X is transmitted by droplets.

Answer

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

Question 3

The null and alternative hypothesis can be the same.

Accepted Answer

No

Answer

Yes

Answer

Maybe

Answer

All the above

Question 4

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

Accepted Answer

False

Answer

True

Question 5

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

Accepted Answer

Alternative Hypothesis

Answer

Research Question

Answer

Null Hypothesis

Answer

Placebo Effect

Question 6

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

Accepted Answer

Made Type I Error

Answer

Made a correct decision to reject null hypothesis

Answer

Made Type II Error

Answer

Increased the power of a statistical test

Question 7

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?

Accepted Answer

$$H_o:\ \mu_k-\mu_m=0$$
$$H_a:\ \mu_k-\mu_m e0$$

Answer

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

Answer

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

Answer

$$H_o:\ \mu_k-\mu_m e0$$
$$H_a:\ \mu_k-\mu_m=0$$

Question 8

The quality control manager will use the following hypotheses to test his concern:

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

$$H_a:\ \mu_k-\mu_m e0$$

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?

Accepted Answer

A type I error has been made

Answer

A type II error has been made

Answer

The assumptions and conditions for the test were not met

Answer

The sample that was selected was bias

Question 9

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

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:

$$H_0:\ p\ =\ 0.09$$ $$H_a:\ p\ e0.09$$

Which of the following would be a type I error?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

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:

$$H_0:\ p\ =\ 0.09$$ $$H_a:\ p\ e0.09$$

Which of the following would be a type II error?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

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?

Accepted Answer

Increase the size of each of the samples.

Answer

Reduce $$\alpha$$

Answer

Increase $$\beta$$

Answer

Change the alternate hypothesis to a < or > symbol.

Question 14

A Type II Error is committed when

Accepted Answer

You fail to reject null hypothesis that is really false

Answer

A true null hypothesis is rejected

Answer

You accept true null hypothesis

Answer

You reject null hypothesis

Question 15

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:

Accepted Answer

The p-value

Answer

Type II Error

Answer

Statistical Power

Answer

Type I Error

Question 16

Which curve has the greater standard deviation?

Accepted Answer

Red

Answer

Black

Answer

Blue

Question 17

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

Accepted Answer

Level of Confidence

Answer

Area of Rejection

Answer

Hypothesis Testing

Answer

Alternative Hypothesis

Question 18

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

Accepted Answer

Level of Significance

Answer

Area of Rejection

Answer

Hypothesis Testing

Answer

Alternative Hypothesis

Question 19

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

Accepted Answer

Ha: undefined $$ e$$ A

Answer

Ha: undefined = A

Answer

Ha: undefined $$\ge$$ A

Answer

all of the above

Question 20

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

Accepted Answer

Ha: undefined $$\le$$ A

Answer

Ha: undefined $$ e$$ A

Answer

Ha: undefined $$\ge$$ A

Answer

all of the above

conceptual review for Hypothesis test

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