Arandom sample of 5200 permanent dwellings on an entire reservation showed that 1571 were traditional hogans.
(a) let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. find a point estimate for p. (round your answer to four decimal places.)
(b) find a 99% confidence interval for p. (round your answer to three decimal places.)
lower limit
upper limit

Given that

A random sample of 5200 permanent dwellings on an entire reservation showed that 1571 were traditional hogans.

Sample proportion p =

p follows a normal distribution with mean = 0.3021 and variance

=

std dev of p=0.00462

For 99% confidence level we use Z critical value 2.58

Margin of errror = 2.58 (std error) =0.0119

Confidence interval lower bound = 0.3021-0.0119 =0.2902

Upper bound = 0.3021+0.0119 =0.3140

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: