A University Is Studying the Proportion of Students Retained in Various

question 14

Multiple Choice

A university is studying the proportion of students retained in various years.Suppose the proportion of students retained in 2012 is $\text { P12 }$ and the proportion of students retained in 2013 is $\mathrm { P } 13$ .A study found a 90% confidence interval for $\text { P12 }$ - $\mathrm { P } 13$ is (-0.0398,0.0262) .Give an interpretation of this confidence interval.

• A)We are 90% confident that the proportion of students retained in 2012 is between 3.98% less and 2.62% more than the proportion of students retained in 2013.
• B)We know that 90% of students retained in 2013 is between 3.98% less and 2.62% more than 2012.
• C)We know that 90% of students retained in 2012 is between 3.98% less and 2.62% more than 2013.
• D)We are 90% confident that the proportion of students retained in 2013 is between 3.98% less and 2.62% more than the proportion of students retained in 2012.
• E)We know that 90% of all random samples done on the population will show that the proportion of students retained in 2012 is between 3.98% less and 2.62% more than the proportion of students retained in 2013.

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Definitions:

Kyphosis

A spinal disorder causing a forward rounding of the back, which may lead to a hunchback posture.

Symphysis

A type of joint in which the bones are joined by fibrocartilage, allowing for slight movement, such as the pubic symphysis.

Lumbodynia

Pain experienced in the lumbar region of the back, often related to disorders or strain of the lower back muscles or vertebrae.

Pain

An unpleasant sensory and emotional experience associated with actual or potential tissue damage.