Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error 0.03: confidence level 95%; and unknown

1067

Explanation:

The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;

Sample size n = |Z|² × 0.25/E² where;

Z is the z-score at 95% confidence

E is the margin of error

Given parameters

Z score at 95% confidence interval = 1.96

E = 0.03

Substituting the given values into the formula to get the sample size n we will have;

n = 1.96²×0.25/0.03²

n = 3.8416×0.25/0.0009

n = 0.9604/0.0009

n = 1067.11

n ≈ 1067

Hence, the minimum sample size required to estimate a population proportion is approximately 1067

hi

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.