Question

According to the admissions director of a certain college, approximately 11% of the 250 freshmen admitted had
applied using the early decision option. Suppose that we took random samples of 20 freshmen from this
population and computed the proportion of freshmen in each sample who had applied using the early decision
option. We can assume the admissions director's claim is true.
What will be the shape of the sampling distribution of p?

Answer 1

Answer:

Skewed to the right

Step-by-step explanation:

We have a right-skewed sampling distribution because the population proportion is so extreme relative to the sample size that there are fewer than 10 expected successes per sample.

Answer 2

The shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.

What is a histogram?

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We have:

11% of the 250 freshmen admitted had applied using the early decision option.

Total number of samples = 20

It is given that the admissions director's claim is true.

As we can see from the data shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample since the population proportion is so excessive in comparison to the sample size.

Thus, the shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.

Learn more about the histogram here:

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