A student was asked to find a 95% confidence interval for the proportion of stud
ID: 3055896 • Letter: A
Question
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 = 83 Which of the following is a correct interpretation of the interval 0.13 p 0.29? Check all that are correct. There is a 95% chance that the proportion of the population is between 0.13 and 0.29. O With 95% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.13 and 0.29 There is a 95% chance that the proportion of notetakers in a sample of 83 students will be between 0.13 and 0.29. The proprtion of all students who take notes is between 0.13 and 0.29, 95% of the time. with 95% confidence, the proportion of all students who take notes is between 0.13 and 0.29.Explanation / Answer
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data. A 95%confidence interval has a 0.95 probability of containing the population mean. 95% of the population distribution is contained in the confidence interval.
Hence answer is There is 95% chance that the proportion of the population is between 0.13 and 0.29.
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