Suppose a 95% confidence interval for a population proportion is (0.27, 0.49). rewrite this interval in the form of ± margin of error.

Margin of error is equal to the radius of confidence interval or half of the width of confidence interval.

Margin of error = where (a,b) is the confidence interval.

Given confidence of interval is (0.27,0.49).

Margin of error =

To write the given interval in terms of margin error, we have to find mid point of confidence interval =

Now confidence interval=(mid point-margin of error, mid point+margin of error)

                                         = (0.38-0.11, 0.38+0.11)

Hence confidence interval is 0.38±0.11

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.