sample distribution of proportions

Question 1

central limit theorem

Answer 1

if some assumptions and conditions are satisfied, the sample distribution of proportions

*is a normal model
*mean = p
*SD(^p) = square root of pq/n

Question 2

how to find q

Answer 2

q = 1-p

Question 3

independence assumption

Answer 3

every output is independent of each other
*depends on the 10% and randomization conditions
*used to determine if CLT applies

Question 4

randomization condition

Answer 4

the sampling method should not be biased
*used to determine if CLT applies

Question 5

10% condition

Answer 5

the sample size is less than 10% of the population
*used to determine if CLT applies

Question 6

success/failure condition

Answer 6

np and nq should be >or equal to 10
*used to determine if CLT applies

Question 7

p-hat is the same as…?

Answer 7

x-bar

Question 8

how does the sampling distribution model change as the sample size increases?

Answer 8

it becomes narrower as the SD decreases

Question 9

z-score formula

Answer 9

(sample mean - pop mean)/SD of sample mean

Question 10

p

Answer 10

population proportion/mean

Question 11

p-hat

Answer 11

sample proportion/mean

Question 12

theoretical SD equation using pop SD (SD of sampling distribution)

Answer 12

SD(p-hat) = (pop SD)/root n

n - sample size
*used when not working with percentages