Question: 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

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 = 76. Which of the following is a correct interpretation of the interval 0.11 < p < 0.2?

Check all that are correct.

  • With 95% confidence, the proportion of all students who take notes is between 0.11 and 0.2.
  • There is a 95% chance that the proportion of the population is between 0.11 and 0.2.
  • With 95% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.11 and 0.2.
  • The proportion of all students who take notes is between 0.11 and 0.2, 95% of the time.
  • There is a 95% chance that the proportion of notetakers in a sample of 76 students will be between 0.11 and 0.2.

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