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8.2 Day 2 Practice

Authored by Ruba Ali

Mathematics

12th Grade

CCSS covered

Used 6+ times

8.2 Day 2 Practice
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A study found that in a random sample of 44 subjects, 9 of them agree that children under 6 shouldn’t be taken to nice restaurants.


The 95% confidence interval for p is (0.082, 0.318). Interpret this interval.

95% of the time the proportion of people who believe children under 6 shouldn't be taken to nice restaurants will be between 8.2% and 31.8%.

The population proportion of people who believe children under 6 shouldn't be taken to nice restaurants is between 8.2% and 31.8%.

The probability that the true proportion of people who believe children under 6 shouldn't be taken to nice restaurants will be between 8.2% and 31.8% is 95%.

We are 95% confident that the true proportion of people who believe children under 6 shouldn't be taken to nice restaurants is between 8.2% and 31.8%.

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following changes to a study would result in a narrower confidence interval?

increasing the confidence level, increasing the sample size

decreasing the confidence level, decreasing the sample size

increasing the confidence level, decreasing the sample size

decreasing the confidence level, increasing the sample size.

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A random sample of 110 GBW students found that 53 of them were in possession of a pencil. What is p-hat for this sample?

0.53

53

0.48

1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A survey of a random sample of 2500 adults who have a credit card found that 570 had a balance of $1000 or more on their credit card. Identify the name of the confidence interval for the proportion of adults with credit cards that carry a balance of $1000 or more.

z interval

1 proportion z interval

1 sample t interval for p

1 proportion t interval

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A survey of a random sample of 2500 adults who have a credit card found that 570 had a balance of $1000 or more on their credit card.

Which of the following would NOT be a condition we need to verify before constructing the interval for the proportion of all adults that have a balance of $1000 or more?

np̂ ≥ 10 and n(1-p̂) ≥ 10

n ≥ 30

10% condition

random sample

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A survey of a random sample of 2500 adults who have a credit card found that 570 had a balance of $1000 or more on their credit card.

What is the margin of error for a 99% confidence interval for the proportion of all adults that have a balance of $1000 or more??

0.022

0.0046

0.008

0.016

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A survey of a random sample of 2500 adults who have a credit card found that 570 had a balance of $1000 or more on their credit card.

What symbol describes the parameter?

μ

p

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