Question

part 1.
A student was asked to find a 95% confidence interval for the proportion of students who take notes using data from a random sample of size n = 79. Which of the following is a correct interpretation of the interval 0.12 < p < 0.32?

• There is a 95% chance that the proportion of notetakers in a sample of 79 students will be between 0.12 and 0.32.
• There is a 95% chance that the proportion of the population is between 0.12 and 0.32.
• With 95% confidence, the proportion of all students who take notes is between 0.12 and 0.32.
• The proprtion of all students who take notes is between 0.12 and 0.32, 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 0.32.

part 2

If n=10, ¯xx¯(x-bar)=39, and s=7, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population.

Give your answers to one decimal place.

Answer 1