Hypothesis Testing One Sample

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  $\alpha=0.01$  level of significance.  

• $H_0:\ \ P=60$
  $H_1:\ \ P\ne60$
  

• $H_0:\ \ P=0.60$
  $H_1:\ \ P\ne0.60$
  

• $H_0:\ \ \mu=60$
  $H_1:\ \ \mu\ne60$
  

• $H_0:\ \ \mu\ge60$
  $H_1:\ \ \mu\le60$
  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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  $\alpha=0.01$  level of significance.  

What type of test would you need to run for this?  

• Z Test

• T Test

• 1-Prop Z Test

• X² Test

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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  $\alpha=0.01$  level of significance.  

What is the p-value?  Round to 4 decimal places.  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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  $\alpha=0.01$  level of significance.

• Reject the Null

• Fail to Reject the Null

• Accept the Null

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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  $\alpha=0.01$  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%

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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. 

•  $H_0:\ \ \mu=48,300$   $H_1:\ \ \mu>48,300$  

•  $H_0:\ \ \mu=50,000$   $H_1:\ \ \mu>50,000$  

•  $H_0:\ \ \mu=48,300$   $H_1:\ \ \mu<48,300$  

•  $H_0:\ \ \mu=50,000$   $H_1:\ \ \mu<50,000$  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

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!!

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4