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Suppose the proportion of students retained in 2003 is P03 and the proportion of

ID: 3218034 • Letter: S

Question

Suppose the proportion of students retained in 2003 is P03 and the proportion of students retained in 2004 is P04. A study found a 90% confidence interval for P03 - P04 is (-0.0398, 0.0262). Give an interpretation of this confidence interval. We know that 90% of all random samples done on the population will show that the proportion of students retained in 2003 is between 3.98% less and 2.62% more than the proportion of students retained in 2004. We know that 90% of students retained in 2003 between 3.98% less and 2.62% more than 2004. We know that 90% of students retained in 2004 between 3.98% less and 2.62% more than 2003. We are 90% confident that the proportion of students retained in 2004 is between 3.98% less and 2.62% more than the proportion of students retained in 2003. We are 90% confident that the proportion of students retained in 2003 is between 3.98% less and 2.62% more than the proportion of students retained in 2004.

Explanation / Answer

Here we are finding CI for P03-P04 ie difference of how many retained in P03 compared to P04

So the confidence interval will tell us that we are 90% confident tht the proportion of students retained in 2003 is between 3.98% less and 2.62% more than the proportion of students retained in 2004

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