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

obtaining data with a small p-value

using a small level of significance

using a large level of significance

obtaining data with a low test statistic

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

the probability that the null hypothesis is true

the probability that the alternative hypothesis is true

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.

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

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

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

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.

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

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

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

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.

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

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

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

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.

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

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

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

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.

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

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

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

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.

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

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

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

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.

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

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

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

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

obtaining data with a small p-value

using a small level of significance

using a large level of significance

obtaining data with a low test statistic

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

the probability that the null hypothesis is true

the probability that the alternative hypothesis is true

Define a Type I error?

Rejecting a true null hypothesis

The failure to reject a false null hypothesis

The acceptance to reject a null hypothesis

Accepting a true null hypothesis

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) 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) 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

A level of significance of 5% means:

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

There's a 5% chance we're wrong

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

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

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a α = 0.01 \alpha=0.01 α = 0 . 0 1 level of significance.

H 0 : P = 0.60 H_0:\ \ P=0.60 H 0 : P = 0 . 6 0 H 1 : P ≠ 0.60 H_1:\ \ P\ne0.60 H 1 : P  = 0 . 6 0

H 0 : P = 60 H_0:\ \ P=60 H 0 : P = 6 0 H 1 : P ≠ 60 H_1:\ \ P\ne60 H 1 : P  = 6 0

H 0 : μ = 60 H_0:\ \ \mu=60 H 0 : μ = 6 0 H 1 : μ ≠ 60 H_1:\ \ \mu\ne60 H 1 : μ  = 6 0

H 0 : μ ≥ 60 H_0:\ \ \mu\ge60 H 0 : μ ≥ 6 0 H 1 : μ ≤ 60 H_1:\ \ \mu\le60 H 1 : μ ≤ 6 0

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a α = 0.01 \alpha=0.01 α = 0 . 0 1 level of significance. What is the conclusion statement?

There is enough evidence to support the claim that the percent of families who own pets is different than 60%

There is enough evidence to reject the claim that the percent of families who own pets is different than 60%

There is not enough evidence to support the claim that the percent of families who own pets is 60%

There is not enough evidence to support the claim that the percent of families who own pets is different than 60%

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 Null and Alternate Hypothesis Statements.

H 0 : μ = 50 , 000 H_0:\ \ \mu=50,000 H 0 : μ = 5 0 , 0 0 0 H 1 : μ < 50 , 000 H_1:\ \ \mu<50,000 H 1 : μ < 5 0 , 0 0 0

H 0 : μ = 48 , 300 H_0:\ \ \mu=48,300 H 0 : μ = 4 8 , 3 0 0 H 1 : μ > 48 , 300 H_1:\ \ \mu>48,300 H 1 : μ > 4 8 , 3 0 0

H 0 : μ = 50 , 000 H_0:\ \ \mu=50,000 H 0 : μ = 5 0 , 0 0 0 H 1 : μ > 50 , 000 H_1:\ \ \mu>50,000 H 1 : μ > 5 0 , 0 0 0

H_0:\ \ \mu=48,300 H 0 : μ = 4 8 , 3 0 0 H 1 : μ < 48 , 300 H_1:\ \ \mu<48,300 H 1 : μ < 4 8 , 3 0 0

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.

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

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

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

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

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 null and alternate hypothesis statements.

H 0 : μ = 1 H 1 : μ > 1 H_0:\ \ \mu=1\ \ \ \ \ \ H_1:\ \ \mu>1 H 0 : μ = 1 H 1 : μ > 1

H 0 : μ < 1 H 1 : μ > 1 H_0:\ \ \mu<1\ \ \ \ \ \ H_1:\ \ \mu>1 H 0 : μ < 1 H 1 : μ > 1

H 0 : μ ≠ 1 H 1 : μ < 1 H_0:\ \ \mu\ne1\ \ \ \ \ \ H_1:\ \ \mu<1 H 0 : μ  = 1 H 1 : μ < 1

H 0 : μ > 1 H 1 : μ < 1 H_0:\ \ \mu>1\ \ \ \ \ \ H_1:\ \ \mu<1 H 0 : μ > 1 H 1 : μ < 1

unit 8 1 sample review

Authored by Haley Davis

Mathematics

12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

a) Reject the null hypothesis

b) Reject the alternative hypothesis

c) Fail to reject the null hypothesis

d) Fail to reject the alternative hypothesis

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

When p-value is greater than alpha we:

Reject Ho

Fail to reject Ha

Fail to reject Ho

Reject Ha

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the only option for the null hypothesis?

H₀ = k

H₀ > k

H₀ < k

H₀ ≠ k

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

H_a = k

H_a > k

H_a < k

H_a ≠ k

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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?

H₀ = 18.4
H_a = 18.4

H₀ = 18.4
H_a > 18.4

H₀ = 18.4
H_a < 18.4

H₀ = 18.4
H_a ≠ 18.4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Check assumptions & conditions

Find your test statistic

State your conclusion

State your null & alternative hypotheses

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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?

H₀ = 47
H_a = 47

H₀ = 47
H_a < 47

H₀ = 47
H_a > 47

H₀ = 47
H_a ≠ 47

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unit 8 1 sample review

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%.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

unit 8 1 sample review

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%.

Access all questions and much more by creating a free account

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%.