construct a 99% confidence interval of the population proportion using the given information. x=240 n=300

Confidence interval for population proportion is

sample proportion +/- confidence coefficient*standard error of p

Sample proportion = p = x/n = 180/300 = 0.6

Confidence coefficient is the critical value of z for 95% confidence level = 1.96

Standard error of p = sqrt [p*(1-p)/n]

= sqrt [0.6*0.4/300]

= 0.0283

The CI is

0.6 +/- 1.96*0.0283

0.6 +/- 0.055

lower boundary is 0.6-0.055 = 0.545

upper boundary is 0.6+0.055 = 0.655

The CI is (0.545, 0.655)

560

step-by-step explanation:

giggidy

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for