Complete Question
The complete question is shown on the first uploaded image
Answer:
a
center is 0.275
[tex]SE = 0.063[/tex]
b
center is 0.275
[tex]SE = 0.020[/tex]
Step-by-step explanation:
considering question a
From the question we are told that
The sample size is n = 50
The proportion of US adults are college graduates is p = 0.275
Generally the center is equivalent to the proportion so the center is 0.275
Generally the standard error is
[tex]SE = \sqrt{\frac{p * (1- p)}{ n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.275 * (1- 0.275)}{ 50} }[/tex]
=> [tex]SE = 0.063[/tex]
considering question b
The sample size is n = 500
The proportion of US adults are college graduates is p = 0.275
Generally the center is equivalent to the proportion so the center is 0.275
Generally the standard error is
[tex]SE = \sqrt{\frac{p * (1- p)}{ n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.275 * (1- 0.275)}{ 500} }[/tex]
=> [tex]SE = 0.020[/tex]
In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.
A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.
In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:
= [p × (1 - p)]/n
= [0.275 × (1 - 0.275)]/50
= 0.0039875
= ✓0.0039875
= 0.063
Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.
Learn more about sampling distribution on:
https://brainly.com/question/15205225
