SOLUTION: The table to the right shows the results of a survey in which 2566 adults from Country​ A, 1128 adults from Country​ B, and 1085 adults from Country C were asked if hum
Algebra.Com
Question 1043436: The table to the right shows the results of a survey in which 2566 adults from Country A, 1128 adults from Country B, and 1085 adults from Country C were asked if human activity contributes to global warming. Complete parts (a), (b), and (c).
Adults who say that human activity contributes to global warming
Country A
68%
Country B
86%
Country C
93%
(a) Construct a 99% confidence interval for the proportion of adults from Country A who say human activity contributes to global warming. Round to three decimal places as needed.
(b) Construct a 99% confidence interval for the proportion of adults from Country B who say human activity contributes to global warming. Round to three decimal places as needed.
(c) Construct a 99% confidence interval for the proportion of adults from Country C who say human activity contributes to global warming. Round to three decimal places as needed.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The CI for each is of the form z*sqrt {(p)(1-p)/n}, and that is added/subtracted to the point estimate
For A
2.576*sqrt (0.68)(0.32/2566; the sqrt term is 0.0092, and the product is 0.024
The CI is (0.656,0.704)
==================
B has a smaller number, a higher probability, but n is a lot less, so expect a slightly larger CI
2.576*sqrt(0.86)(0.14)/1128; sqrt term is 0.0103, and the product is 0.0266
(0.833,0.886)
==================
C has about the same number as B and a probability further from 50%, which will tend to lower the CI.
2.576*sqrt{(0.93)(0.07)/1085}; sqrt term is 0.0077, and the product is 0.020
(0.910,0.950)
==========
Can use calculator STAT then TESTS, then 1-prop z-interval
You need the number for each, and 68% of A is 1745, 86% of B is 970 and 93% of C is 1009. These can be entered and the CI of 0.99 will be computed.
RELATED QUESTIONS
15. The table to the right shows the results of a survey in which 2564 adults from... (answered by ewatrrr)
The table shows the results of a survey in which separate samples of 400 adults each from (answered by Boreal)
A medical researcher says that less than 24% of adults in a certain country are... (answered by Boreal)
In a certain year, 28% of adults in a certain country viewed a college... (answered by josmiceli)
A researcher wishes to estimate, with
9999%
confidence, the... (answered by Boreal)
According to a polling organization,
22% of adults in a large region... (answered by stanbon)
In a survey of 3236 adults, 1495 say they have started paying bills online in the... (answered by Boreal)
In a survey of 3095 adults, 1415 say they have started paying bills online in the... (answered by Boreal)
The table shows the minimum elevations of several countries. Give the elevation of the... (answered by Jk22)