Suppose a polling agency reported that 45.7% of registered voters were in favor of raising income taxes to pay down the national debt. the agency states that results are based on telephone interviews with a random sample of 1033 registered voters. suppose the agency states the margin of error for 99% confidence is 4.0%. determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

As per given , we have

p= 0.457

n= 1033

Margin of error for 99% confidence : E= 4%=0.04

Confidence interval :

i.e.

99% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt. = (0.417, 0.497)

Interpretation : We are 99% sure that the true population proportion of registered voters who are in favor of raising income taxes to pay down the national debt lies in interval (0.417, 0.497).

step-by-step explanation:

sry but any answer choices

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt