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

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

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

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

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

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

Hypothesis Testing One Sample

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Hypothesis Testing One Sample

Quiz

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Mathematics

•

University

•

Practice Problem

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Medium

•

CCSS

HSS.IC.A.1, HSS.ID.A.4, HSS.IC.B.4

Standards-aligned

Mrs. G

Used 76+ times

FREE Resource

15 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 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 $\alpha=0.01$ 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

MULTIPLE CHOICE QUESTION

5 mins • 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 $\alpha=0.01$ 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

FILL IN THE BLANK QUESTION

5 mins • 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 $\alpha=0.01$ 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

MULTIPLE CHOICE QUESTION

5 mins • 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 $\alpha=0.01$ 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

MULTIPLE CHOICE QUESTION

5 mins • 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 $\alpha=0.01$ 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

MULTIPLE CHOICE QUESTION

5 mins • 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.

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

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

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

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

5 mins • 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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

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Hypothesis Testing One Sample

15 questions

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=0.01α=0.01 level of significance.

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=0.01α=0.01 level of significance. What type of test would you need to run for this?

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=0.01α=0.01 level of significance. What is the p-value? Round to 4 decimal places.

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=0.01α=0.01 level of significance.

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=0.01α=0.01 level of significance. What is the conclusion statement?

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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.

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?

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.

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.

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?