In 2004, the General Social Survey (which uses a method similar to simple random sampling) asked, "Do you consider yourself athletic?" For this question, 255 people said that they did out of 2373 randomly selected people. What is the 95% confidence interval for the proportion of all Americans who consider themselves athletic?

(0.0974, 0.1226)

Step-by-step explanation:

We first find the sample proportion;

255/ 2373

0.11

The Z value for a 95% confidence interval is 1.960

Therefore;

0.11 +- 1.96 * √ (0.11(1 – 0.11))/2373

0.11 +- 1.96 * 0.00642

0.11 +- 0.0126

= 0.1226

= 0.0974

(0.0974, 0.1226)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

d

step-by-step explanation: