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Margin of Error & Confidence Level

Authored by Adam Mobley

Mathematics

12th Grade

CCSS covered

Used 37+ times

Margin of Error & Confidence Level
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20 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A recent survey found that 77% of high schoolers use their phones more than 4 hours a day on average. The margin of error was 3%. What is the interval for which we could expect to find the truth of the population?

77% - 80%

74% - 77%

74% - 80%

50 million high schoolers - 120 million

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Why is a sample of 1000 people better than a sample of 100 people?

It reduces the margin of error.

Having more people creates more work.

More people means that our results are always correct.

Tags

CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A random sample of 100 WHS students found that 53 of them were in possession of a pencil. What is the p-hat for this sample?

0.53
0.5
0.47
1

Tags

CCSS.HSS.IC.B.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine whether the survey clearly projects a winner. According to the survey of students voting for student council president, 42% of the students said they will vote for Jada and 58% said they would vote for Sean. The survey's margin of error is 5%

Jada wins

Sean wins

It's too close to tell

It's a tie

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.6

CCSS.HSS.ID.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A 95% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.

95% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144

We are 95% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

95% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144

We are 95% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.

Tags

CCSS.HSS.IC.B.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A recent survey found that out of 400 random American adults, 89% pay their bills on time. The margin of error in this survey was 2%. What is the interval of values in which the truth is likely found?

89% - 91%

87% - 89%

87% - 91%

388 - 402

Tags

CCSS.HSS.IC.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A research team surveys 200 high schoolers at glenoak. They find that 57% of them drive to school every day. What is the margin of error? (Hint: Use the standard error formula)

95%

14%

7%

3%

Tags

CCSS.HSS.IC.B.4

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