1. A student was asked to find a 95% confidence interval for the population proportion of students who take notes using data from a random sample of size n = 80. Which of the following is a correct interpretation of the interval 0.12 < p < 0.27?

Check all that are correct.

• There is a 95% chance that the proportion of the population is between 0.12 and 0.27.
• The proprtion of all students who take notes is between 0.12 and 0.27, 95% of the time.
• With 95% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.12 and 0.27.
• With 95% confidence, the proportion of all students who take notes is between 0.12 and 0.27.
• There is a 95% chance that the proportion of notetakers in a sample of 80 students will be between 0.12 and 0.27.

2. Express the confidence interval 36.7%6.5%36.7%6.5% in the form of a trilinear inequality. _______%

3. Suppose the confidence interval (0.6358, 0.7532) represents the proportion of Skyline College students who say math is their favorite subject.

a. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject?

• Yes, 0.60 is not contained in the interval
• Yes, all the interval values are greater than 0.60
• No, 0.60 is not contained in the interval

b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject?

• No, 0.60 is not contained in the interval
• Yes, 0.60 is not contained in the interval
• Yes, all the interval values are greater than 0.60

c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject?

• Yes, all the interval values are greater than 0.60
• No, 0.60 is not contained in the interval
• No, all the interval values are greater than 0.60

4. We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 126 had kids. Based on this, construct a 99% confidence interval for the proportion p of adult residents who are parents in this county. Express your answer in tri-inequality form. Give your answers as decimals, to three places. _______< p < ________Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. p = ________________