AP Stats 8.2a Quizizz

A survey was given to a random sample of 55 residents of a town of 30,000 people to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 8 respondents said they were in favor of the plan.

Which of the following conditions are met for determining a 95% confidence interval? Check all that are met.

• Random Condition

• Large Counts Condition

• 10% Condition

A study of a large local high school tried to determine the mean amount of money that each student had saved. The study surveyed a random sample of 97 AP students in the high school and found a mean savings of 4100 dollars with a standard deviation of 500 dollars.

Which conditions are met for calculating a confidence interval? Check all that are met.

• Random Condition

• 10% Condition

• Normal/Large Counts Condition

A survey was given to a random sample of 1750 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 595 respondents said that they preferred Candidate A.

Which of the following conditions are met for calculating a confidence interval for this situation?

• Random Condition

• 10% Condition

• Large Counts Condition

Find the critical value, z*, for 91% confidence.

• 1.70

• 1.34

• 0.18

• -1.34

Find the critical value, z *for 97%

• 1.88

• 2.17

• -1.88

• -2.17

For a sample, the 95% confidence interval is (0.202, 0.482).

What is the margin of error of this sample?

• 0.28

• 0.14

• 0.342

• 0.684

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?

• 0.023 < p < 0.045

• 0.001 < p < 0.005

• 0.148 < p < 0.252

• 0.566 < p < 0.693

A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the Internet?

• 0.316 < p < 0.384

• 0.305 < p < 0.395

• 0.309 < p < 0.391

• 0.321 < p < 0.379

It was found that in a sample of 90 teenage boys, 70% of them have received speeding tickets. What is the 90% confidence interval of the true proportion of teenage boys who have received speeding tickets?

• (0.591, 0.812)

• (0.615, 0.805)

• (0.584, 0.830)

• (0.621, 0.780)