Assuming the conditions are met, if the 95% confidence interval for p was calculated to be (0.604, 0.781), what is the correct interpretation for this interval?

95% certain that true proportion of population "p" is contained in (0.604, 0.781)

Step-by-step explanation:

We know that a 95% confidence interval is a range of values that you can be 95% sure that true mean of the population or true proportion of population lies in it .

Given : The 95% confidence interval for p was calculated to be (0.604, 0.781).

It means that we are 95% certain that true proportion of population "p" is contained in (0.604, 0.781).

Hence, the  correct interpretation for this interval :- 95% certain that true proportion of population "p" is contained in (0.604, 0.781).

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .