A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey? A. If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.
B. If the sample size was larger, the margin of error would be larger as well.
C. Exactly 30% of all Chinese adults smoke.
D. We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke.
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Step-by-step explanation:

x% confidence interval between a and b.

Interpretation: We are x% sure that the true value is between a and b.

In this question:

95% confidence level

30% with a margin of error of 2.2%.

So

30 - 2.2 = 27.8%

30 + 2.2 = 32.2%

So the correct answer is:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

yes yes yes yes yes yes yes yes yes

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is