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Confidence Intervals Proportion

Authored by Barbara White

Mathematics

11th - 12th Grade

Confidence Intervals Proportion
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12 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In a survey of 2480 golfers, 15% said they were left-handed.  The survey's margin of error was 3%.  Construct a confidence interval for the proportion of left-handed golfers.

(0.18 to 0.21)
(0.12 to 0.18)
(0.12 to 0.15)
(0.11 to .19)

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

You take a poll and find that 34% of the 100 people you asked dislike school lunches.  Using a 95% confidence level, what is the margin of error?

0.093
0.047
.034
.34

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

400 randomly selected adults were sampled. The proportion of people who like ice cream was found to be 82%. Find the Margin of Error with 95% confidence for this study. 

0.074
0.192
0.037
0.368

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The 99% confidence interval for a proportion is (0.54, 0.72). What is p̂?

0.63
0.18
0.09
0.66

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A survey of 280 homeless persons showed that 63 were veterans.  Construct a 90% confidence interval for the proportion of homeless persons who are veterans.

(0.161 to .289)
(0.176 to 0.274)
(0.184 to 0.266)
(0.167 to 0.283)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Out of a group of 2584 voters, 1757 of them voted "yes" on a proposition. Construct a 95% confidence interval for the proportion of all voters who would vote "yes."

[.662,.698]

[.298,.342]

[.302,.338]

[.288,.352]

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A sample of 400 racing cars showed that 80 cars cost over $700,000. What is the 99% confidence interval of the true proportion of cars costing over $700,000?

(0.001, 0.005)

(0.566, 0.693)

(0.148, 0.252)

(0.023, 0.045)

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