Unit 5 Lesson 3 Review--Margin of Error: From Sample to Population

Last updated over 4 years ago
15 questions
Note from the author:
Point Estimate, Margin of Error, and 95% confidence intervals
2

According to the U.S. Census, approximately 14% of Allentown, Pennsylvania residents were born in another country. Jacob doesn't know this fact when he creates his own survey using a random sample of 500 Allentown residents. In Jacob's sample, 55 residents were not born in the U.S.

What is the value for his point estimate? Include your calculations with your final answer.

2

According to the U.S. Census, approximately 14% of Allentown, Pennsylvania residents were born in another country. Jacob doesn't know this fact when he creates his own survey using a random sample of 500 Allentown residents. In Jacob's sample, 55 residents were not born in the U.S.

What is the sampling error for Jacob's estimate of the proportion of Allentown residents who were not born in the U.S.? Include your calculations with your final answer.

2

According to the U.S. Census, approximately 14% of Allentown, Pennsylvania residents were born in another country. Jacob doesn't know this fact when he creates his own survey using a random sample of 500 Allentown residents. In Jacob's sample, 55 residents were not born in the U.S.

Compute the margin of error for Jacob's survey. Include your calculations with your final answer.

2

According to the U.S. Census, approximately 14% of Allentown, Pennsylvania residents were born in another country. Jacob doesn't know this fact when he creates his own survey using a random sample of 500 Allentown residents. In Jacob's sample, 55 residents were not born in the U.S.

What is the 95% confidence interval for the parameter that Jacob's survey is trying to estimate? Include your calculations with your final answer.

1

According to the U.S. Census, approximately 14% of Allentown, Pennsylvania residents were born in another country. Jacob doesn't know this fact when he creates his own survey using a random sample of 500 Allentown residents. In Jacob's sample, 55 residents were not born in the U.S.

Write an interpretation, in context, of the confidence interval for question #4.

1

About 30% of 1,250 adults in a poll taken last month admitted to biting their fingernails.

What is the parameter that this poll was trying to estimate?

1

About 30% of 1,250 adults in a poll taken last month admitted to biting their fingernails.

What is the point estimate of the parameter?

2

About 30% of 1,250 adults in a poll taken last month admitted to biting their fingernails.

Compute the margin of error for this poll. Include your calculations with your final answer.

2

About 30% of 1,250 adults in a poll taken last month admitted to biting their fingernails.

What is the 95% confidence interval for the parameter that the poll was trying to estimate? Include your calculations with your final answer.

1

About 30% of 1,250 adults in a poll taken last month admitted to biting their fingernails.

Write an interpretation, in context, of the confidence interval for question #9.

1

North Carolina recently conducted a telephone survey of adults 18 and over who regularly ride their bicycle. Of the 482 surveyed, 418 said they always wear a helmet when they are out riding on their bike.

What is the parameter that this survey was trying to estimate?

2

North Carolina recently conducted a telephone survey of adults 18 and over who regularly ride their bicycle. Of the 482 surveyed, 418 said they always wear a helmet when they are out riding on their bike.

What is the point estimate of the parameter? Include your calculations with your final answer.

2

North Carolina recently conducted a telephone survey of adults 18 and over who regularly ride their bicycle. Of the 482 surveyed, 418 said they always wear a helmet when they are out riding on their bike.

Calculate the margin of error for this survey. Include your calculations with your final answer.

2

North Carolina recently conducted a telephone survey of adults 18 and over who regularly ride their bicycle. Of the 482 surveyed, 418 said they always wear a helmet when they are out riding on their bike.

What is the 95% confidence interval for the parameter that the poll was trying to estimate? Include your calculations with your final answer.

1

North Carolina recently conducted a telephone survey of adults 18 and over who regularly ride their bicycle. Of the 482 surveyed, 418 said they always wear a helmet when they are out riding on their bike.

Write an interpretation, in context, of the confidence interval for question #14.