Quiz about unit 8 1 sample review

Question 1

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

Accepted Answer

a) Reject the null hypothesis

Answer

b) Reject the alternative hypothesis

Answer

c) Fail to reject the null hypothesis

Answer

d) Fail to reject the alternative hypothesis

Question 2

When p-value is greater than alpha we:

Accepted Answer

Fail to reject Ho

Answer

Reject Ho

Answer

Fail to reject Ha

Answer

Reject Ha

Question 3

Which of the following is the FIRST step of a hypothesis test?

Accepted Answer

State your null & alternative hypotheses

Answer

Check assumptions & conditions

Answer

Find your test statistic

Answer

State your conclusion

Question 4

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

Accepted Answer

False

Answer

True

Question 5

The null and alternative hypothesis can be the same.

Accepted Answer

No

Answer

Yes

Answer

Maybe

Answer

All the above

Question 6

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

Accepted Answer

obtaining data with a small p-value

Answer

using a small level of significance

Answer

using a large level of significance

Answer

obtaining data with a low test statistic

Question 7

A P-value indicates:

Accepted Answer

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

Answer

the probability that the null hypothesis is true

Answer

the probability that the alternative hypothesis is true

Answer

probability of a Type I error

Question 8

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

Accepted Answer

H_o:p =.5 where p is the true proportion of Americans who can name one justice currently serving.

Answer

H_o: p <.5, where p is the true proportion of Americans who can name one justice currently serving.

Answer

H_o:p >.5 where p is the true proportion of Americans who can name one justice currently serving.

Question 9

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the alternative hypothesis.

Accepted Answer

H_a: p<.5, where p is the true proportion of Americans who can name one justice currently serving.

Answer

H_a: p=.5, where p is the true proportion of Americans who can name one justice currently serving.

Answer

H_a: p>.5, where p is the true proportion of Americans who can name one justice currently serving.

Question 10

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the alternative hypothesis.

Accepted Answer

H_a: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

Answer

H_a: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

Answer

H_a: p <.75, where p is the true proportion of Americans who believe rudeness is worsening.

Question 11

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the null hypothesis.

Accepted Answer

H_o: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

Answer

H_o: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

Answer

H_o: p < .75, where p is the true proportion of Americans who believe rudeness is worsening.

Question 12

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the alternative hypothesis.

Accepted Answer

H_a: p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

Answer

H_a: p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

Answer

H_a: p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

Question 13

In a survey of 526 US businesses, 400 indicated that they monitor employee's web site visits. Is there sufficient evidence that more than 70% of US businesses monitor employees' web site visits? State the null hypothesis.

Accepted Answer

H_o: p = .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

Answer

H_o: p < .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

Answer

H_o: p > .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

Question 14

In a random sample of 1000 adult Americans, 700 indicated that they oppose the reinstatement of a military draft. Is there convincing evidence that the proportion of American adults who oppose the reinstatement of the draft is different from two-thirds? State the null hypothesis.

Accepted Answer

H_o: p = 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

Answer

H_o: p < 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

Answer

H_o: p > 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

Question 15

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

Accepted Answer

obtaining data with a small p-value

Answer

using a small level of significance

Answer

using a large level of significance

Answer

obtaining data with a low test statistic

Question 16

A P-value indicates:

Accepted Answer

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

Answer

the probability that the null hypothesis is true

Answer

the probability that the alternative hypothesis is true

Answer

probability of a Type I error

Question 17

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

Accepted Answer

a) Reject the null hypothesis

Answer

b) Reject the alternative hypothesis

Answer

c) Fail to reject the null hypothesis

Answer

d) Fail to reject the alternative hypothesis

Question 18

When p-value is greater than alpha we:

Accepted Answer

Fail to reject Ho

Answer

Reject Ho

Answer

Fail to reject Ha

Answer

Reject Ha

Question 19

Define a Type I error?

Accepted Answer

Rejecting a true null hypothesis

Answer

The failure to reject a false null hypothesis

Answer

The acceptance to reject a null hypothesis

Answer

Accepting a true null  hypothesis

Question 20

The null and alternative hypothesis can be the same.

Accepted Answer

No

Answer

Yes

Answer

Maybe

Answer

All the above

Question 21

A __________ occurs if you accept the null hypothesis when it is false.

Accepted Answer

Type II error

Answer

Type I error

Question 22

A __________ occurs if you reject the null hypothesis when it is true.

Accepted Answer

Type I error

Answer

Type II error

Question 23

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 24

A level of significance of 5% means:

Accepted Answer

There's a 5% chance we'll be wrong if we reject the null hypothesis.

Answer

There's a 5% chance we're wrong

Answer

There's a 5% chance we'll be wrong if we fail to reject the null hypothesis

Answer

There's a 5% chance you'll get an A on the test.

Question 25

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

What type of test should you run?

Accepted Answer

Z test

Answer

T test

Answer

1-Prop Z test

Answer

X2 test

Question 26

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

What is your decision?

Accepted Answer

Fail to Reject the Null

Answer

Reject the Null

Answer

Accept the Null

Question 27

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

Choose the correct conclusion.

Accepted Answer

There is not enough evidence to support the claim that the average teacher's salary in the competing district is less than $50,000.

Answer

There is enough evidence to support the claim that the average teacher's salary in the competing district is less than $50,000.

Answer

There is enough evidence to support the claim that the average teacher's salary in the competing district is more than $50,000.

Answer

There is not enough evidence to support the claim that the average teacher's salary in the competing district is more than $50,000.

Question 28

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

What type of test should you run?

Accepted Answer

T test

Answer

Z test

Answer

1-Prop Z test

Answer

X2 test

Question 29

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

What is your decision?

Accepted Answer

Reject the Null

Answer

Fail to Reject the Null

Answer

Accept the Null

Question 30

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

Choose the correct conclusion statement

Accepted Answer

There is enough evidence to conclude that the mean concentration of mercury in the town lake is greater than 1 milligram.

Answer

There is not enough evidence to conclude that the mean concentration of mercury in the town lake is greater than 1 milligram.

Answer

There is not enough evidence to conclude that the mean concentration of mercury in the town lake is less than 1 milligram.

Answer

There is enough evidence to conclude that the mean concentration of mercury in the town lake is less than 1 milligram.

Question 31

What is the difference between the way the t-test and the z-test work in this chapter?

Accepted Answer

The difference is in the way you make a decision.

Answer

The difference is in the way you write the null and alternate hypothesis.

Answer

The difference is in the way you find the sample mean.

Question 32

What is a one-sample t-test used for?

Accepted Answer

Comparing means from a sample and a population

Answer

Comparing means from two separate samples

Answer

Comparing means from two related samples

Answer

Comparing means from more than two samples

Question 33

Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our $$\alpha=0.01,\ \overline{x}=51,\ s=4.74,\ n=10,\ df=10-1=9$$

Step 1: What is the null hypothesis?

Accepted Answer

Ho: $$\mu=53$$

Answer

Ho: $$\mu>53$$

Answer

Ho: $$\mu e53$$

Answer

Ho: $$\mu\le53$$

Question 34

Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our $$\alpha=0.01,\ \overline{x}=51,\ s=4.74,\ n=10,\ df=10-1=9$$

Step 1: What is the alternative hypothesis?

Accepted Answer

Ha: $$\mu>53$$

Answer

Ha: $$\mu=53$$

Answer

Ha: $$\mu e53$$

Answer

Ha: $$\mu\le53$$

Question 35

When testing with $$\alpha=0.01$$ you get $$p=0.12$$ . Your decision should be

Accepted Answer

Acceptundefined, there is NOT a significant difference

Answer

Reject $$H_0$$ , there is a significant difference

Answer

Rejectundefined, there is NOT a significant difference

Answer

Acceptundefined, there is a significant difference

Question 36

This symbol denotes the null hypothesis

Accepted Answer

H0

Answer

Null hypothesis

Answer

Alternative Hypothesis

Answer

Ha

Question 37

This symbol denotes the alternative hypothesis

Accepted Answer

Both $$H_a$$ and $$H_1$$

Answer

$$H_1$$

Answer

$$H_0$$

Answer

$$H_a$$

Question 38

Find the null and alternative hypothesis.

The standard deviation of the sale price of a bike is no

more than $225.

Accepted Answer

$$H_0:\ \sigma=225$$

$$H_1:\ \sigma<225$$

Answer

$$H_0:\ \sigma e225$$ $$H_1:\ \sigma<225$$

Answer

$$H_0:\ \sigma e225$$ $$H_1:\ \sigma>225$$

Answer

$$H_0:\ \sigma=225$$ $$H_1:\ \sigma>225$$

Question 39

Find the null and alternative hypothesis.

A microwave manufacturer claims that the mean life of the thermostat for a certain model of microwave is more than 4 years.

Accepted Answer

$$H_0:\ \mu=4$$

$$H_1:\ \mu>4$$

Answer

$$H_0:\ \mu=4$$ $$H_1:\ \mu<4$$

Answer

$$H_0:\ \mu e4$$ $$H_1:\ \mu>4$$

Answer

$$H_0:\ \mu e4$$ $$H_1:\ \mu<4$$

Question 40

Which of the following symbols can be in the ALTERNATIVE hypothesis? (Check all that apply)

Accepted Answer

<

Accepted Answer

>

Accepted Answer

$$
e$$

Answer

=

Answer

$$\ge$$

Question 41

Identify whether the following is a null hypothesis or an alternative hypothesis.

The average age of grade eleven students is 17 years old.

Accepted Answer

Null Hypothesis

Answer

Alternative Hypothesis

Question 42

Identify whether the following is a null hypothesis or an alternative hypothesis.

The mean weight of newborn babies is 0.5 kg.

Accepted Answer

Null Hypothesis

Answer

Alternative Hypothesis

Question 43

Double-tailed test, z = -1.50, n=45

Accepted Answer

.1336

Answer

1.8664

Answer

1.8592

Answer

.1408

Question 44

Left-tailed test, z = -1.50, n=45

Accepted Answer

.0667

Answer

.9332

Answer

.0704

Answer

.9296

Question 45

Double-tailed test, z = -0.85 , n=50

Accepted Answer

.3953

Answer

.3995

Answer

1.6047

Answer

1.6005

unit 8 1 sample review

83 questions

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

When p-value is greater than alpha we:

What is the only option for the null hypothesis?

Which of the following is not an option for an alternate hypothesis?

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?

Which of the following is the FIRST step of a hypothesis test?

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?

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

The null and alternative hypothesis can be the same.

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

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unit 8 1 sample review

83 questions

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

When p-value is greater than alpha we:

What is the only option for the null hypothesis?

Which of the following is not an option for an alternate hypothesis?

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?

Which of the following is the FIRST step of a hypothesis test?

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?

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

The null and alternative hypothesis can be the same.

Identify the correct null hypothesis:Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.