test 4 9.1

Margin of Error given upper bound and lower bound

E= (U-L)/2

What is the general​ relationship, if​ any, between the sample size and the margin of​ error?

Increasing the sample size by a factor M results in the margin of error decreasing by a factor of StartFraction 1 Over StartRoot Upper M EndRoot EndFraction .

point estimate for the population proportion

P^ = x/n

point estimate

the value of a statistic that estimates the value of a parameter

By how many times does the sample size have to be increased to decrease the margin of error by a factor of one half ​

The sample size must be increased by a factor of 4 to decrease the margin of error by a factor of one half .

sample size needed when prior estimate is unavailable

n=.25(Z(subalpa)/2 /E)^2

sample size needed given a prior estimate

n=p^(1-p^) (Z(subalpha/2)/(E) ^2)

point estimate given upper bound and lower bound

p^= (U+L)/2