We are looking at which conditions does the sampling distributions of the sample proportions, looks, skewed to the left, skewed to the right, approximately normal, or uniform.

Our sample size n = 15, and p = 0.09

Expected successes: np = 15(0.09) = 1.35

Expected failures ; n(1-p) = 15 ( 1 - 0.09) = 15(0.91) = 13.65

Since np\lt 10, and n(1-p) \geq 10, the shape of the sampling proportion is not normal.

Since we only expect about 1 freshmen who applied using the early decision option in the sample, which is less than 10, the sample proportions will not be normally distributed.

Now to find in which direction the shape of the sampling distribution is skewed.

We would expect only a right-skewed sampling distribution when the population proportion is so extreme relative to the sample size that there are fewer than 10 expected successes per sample. So, since our expected successes is less than 10, we have a right-skewed sampling distribution.

The sampling distribution of \widehat{p} will be skewed to the right.

I found an answer from cepa.stanford.edu

What Happens After Enrollment? An Analysis of the Time Path of ...

Sep 19, 2011 **...** Since then, a prolific literature in economics **has** emerged ... Fryer and Levitt (
2006), **using** the **Early** Childhood Longitudinal ... mented lower grades for black
**students** in **college** (see, for **example**, ... of the standard deviation of grades for
first'semester **freshmen**. ... Note that these averages do not **take** into.

For more information, see What Happens After Enrollment? An Analysis of the Time Path of ...

I found an answer from www.quora.com

In a group of 50 **students**, 31 **are taking** French, 17 **are taking** ...

For **example**: First of **all**, let's work **with** smaller numbers to make it easier to both
ca... ... 3 **students have 20** oranges in total and **each** of them **has** a different
**number** of ... In a group of 200 **people**, 100 can speak English, 50 can speak
Hindi, and **20** can ... **We** know that 10 of the 50 **students** study neither French nor
Spanish.

For more information, see In a group of 50 **students**, 31 **are taking** French, 17 **are taking** ...

I found an answer from www.nacacnet.org

STATE OF COLLEGE **ADMISSION**

NATIONAL ASSOCIATION FOR COLLEGE **ADMISSION** COUNSELING ...
national **average** acceptance rate ... applicants and 5 percent in **ED** ... Decisions.
The factors that **admission** officers **use** to evaluate applications ... **data**,
**approximately** one-third (36 ... first-time **freshmen have applied** to ... Essay or
Writing **Sample**.

For more information, see STATE OF COLLEGE **ADMISSION**