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Mathematics

11th Grade

One Sample Hypothesis Testing Review
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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  level of significance.  

What is the conclusion statement?  

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 enough evidence to support 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 different than 60%

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

H0:  μ=48,300H_0:\ \ \mu=48,300   H1:  μ>48,300H_1:\ \ \mu>48,300  

H0:  μ=50,000H_0:\ \ \mu=50,000   H1:  μ>50,000H_1:\ \ \mu>50,000  

H1:  μ<48,300H_1:\ \ \mu<48,300   H1:  μ<48,300H_1:\ \ \mu<48,300  

H0:  μ=50,000H_0:\ \ \mu=50,000   H1:  μ<50,000H_1:\ \ \mu<50,000  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

Z test

T test

1-Prop Z test

X2 test

4.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

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 the p-value? Round to 4 decimal places!!

(a)  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

Reject the Null

Fail to Reject the Null

Accept the Null

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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 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.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

H0: μ=1      H1: μ>1H_0:\ \mu=1\ \ \ \ \ \ H_1:\ \mu>1

H0: μ<1      H1: μ>1H_0:\ \mu<1\ \ \ \ \ \ H_1:\ \mu>1

H0: μ≠1      H1: μ<1H_0:\ \mu\ne1\ \ \ \ \ \ H_1:\ \mu<1

H0: μ>1      H1: μ<1H_0:\ \mu>1\ \ \ \ \ \ H_1:\ \mu<1

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