Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 99% confidence that the sample proportion is equal to the population proportion.

B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

C. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

D. 99% of sample proportions will fall between the lower bound and the upper bound.

Step-by-step explanation:

Confidence interval for population proportion is expressed as

(Sample proportion ± margin of error). Thus, the sample proportion is used to estimate the population proportion. The confidence interval has lower bound and upper bound values. It does not tell probability but how confident we are. Therefore, a statement that correctly interprets the confidence interval is

C. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is