A pollster wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 9898% confident that the sample proportion will not differ from the true proportion by more than 55%?

Sample size, n = 543

Step-by-step explanation:

We are given the following in the question:

Margin of error = 5%

Confidence interval:

Margin of error =

Since no particular proportion is given, we take

Putting values, we get,

Thus, the sample size must be 543 so the sample proportion is will not differ by 5%

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b