65 642
Assignments Done
99,2%
Successfully Done
In October 2018

Answer to Question #3643 in Statistics and Probability for abcd

Question #3643
whats the way or role or formula can i usr to find this question<br />

Find the mean, variance and standard deviation of the sampling distribution of the sample proportion, p-hat. <br />
<br />
p = 0.5, n = 250 <br />
<br />
p = 0.1, n = 100 <br />
Expert's answer
For sampling distribution of the sample proportion, p-hat with parameters p and nmean, variance and standard deviation are calculated by the following formulae:
mean = p
variance = p(1-p)/n
standard deviation = SQUARE_ROOT(variance)
Hence if

1) p = 0.5, n = 250, then

mean = p = 0.5
variance = p(1-p)/n = 0.5 * (1-0.5) / 250 = 0.25/250 = 0.0001
standard deviation = SQUARE_ROOT(variance) = SQUARE_ROOT(0.0001) = 0.01


2) p = 0.1, n = 100, then

mean = p = 0.1
variance = p(1-p)/n = 0.1 * (1-0.1) / 100 = 0.09/100 = 0.0009
standard deviation = SQUARE_ROOT(variance) = SQUARE_ROOT(0.0009) = 0.03

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions