Survey and Study Margin of Error Quiz

A survey was given to a random sample of 1200 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 720 respondents said they were in favor of the plan. At the 95% confidence level, what is the margin of error for this survey expressed as a proportion to the nearest thousandth?

• 0.014

• 0.025

• 0.018

• 0.022

A survey was given to a random sample of 115 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 69 respondents said that they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a proportion to the nearest thousandth?

• 0.045

• 0.072

• 0.089

• 0.056

A survey was given to a random sample of 120 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 75% of the people said they were in favor of the plan. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth?

• 8.9%

• 9.5%

• 10.2%

• 7.8%

A survey was given to a random sample of 90 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 40% of the people said they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth?

• 10.5%

• 11.2%

• 9.8%

• 12.3%

A study of a local high school tried to determine the mean number of text messages that each student sent per day. The study surveyed a random sample of 31 students in the high school and found a mean of 187 messages sent per day with a standard deviation of 81 messages. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest whole number.

• 30

• 28

• 25

• 33

A study of a local high school tried to determine the mean number of text messages that each student sent per day. The study surveyed a random sample of 103 students in the high school and found a mean of 179 messages sent per day with a standard deviation of 88 messages. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest whole number.

• 17

• 19

• 21

• 23

A study of a local high school surveyed 82 students and found a mean savings of $2100 with a standard deviation of $800. At the 95% confidence level, what is the margin of error for the mean, rounded to the nearest whole number?

• $175

• $200

• $220

• $250

A study of a local high school surveyed 100 students and found a mean savings of $3300 with a standard deviation of $600. At the 95% confidence level, what is the margin of error for the mean, rounded to the nearest whole number?

• $118

• $120

• $125

• $130