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Estimating Population

Authored by Anthony Clark

Mathematics

7th Grade

Estimating Population
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11 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A preliminary study suggests that 87% of people agree on an issue. How large must your sample size be so you could be within ± 3% of p calculate at 90% confidence?

7

466

5

338

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A preliminary study suggests that 17% of people agree on an issue. How large must your sample size be so you could be within ± 5% with 95% confidence?

217

30

2

152

3.

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A research team surveys 200 high schoolers. They find that 57% of them drive to school every day at a 95% confidence level. What is the margin of error?

9.0%

5.8%

6.9%

7.0%

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Many television viewers express doubts about the validity of certain commercials. In an attempt to answer their critics, Timex Group USA wishes to estimate the proportion of consumers who believe what is shown in Timex television commercials. Let p represent the true proportion of consumers who believe what is shown in Timex television commercials. What is the smallest number of consumers that Timex can survey to guarantee a margin of error of 0.05 of less at a 99% confidence level?

550

600

650

700

750

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the critical value zc for a 99% confidence interval?

2.33

1.96

2.58

1.645

Answer explanation

The critical value z_c for a 99% confidence interval is 2.58, which corresponds to the z-score for a 99% confidence level in a standard normal distribution.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For a 95% confidence interval, what is the z-value used in the calculation?

1.96

2.33

1.645

2.58

Answer explanation

The correct z-value for a 95% confidence interval is 1.96, which is used in the calculation of the interval.

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