- The margin of error of the proportion given is of 2.9%.
- Applying the margin of error, the confidence interval is (29.1%, 34.9%).
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The margin of error of a confidence interval of a proportion 
in a sample of size n, with a confidence level of 
, is:
In which z is the z-score that has a p-value of 
.
The confidence interval is:
In this problem:
- Poll of 1012 people, thus
. - 32% keep a dog, thus
95% confidence level
Thus 
, z is the z-score that has a p-value of 
, so 
.
The margin of error is:
As a percent, 2.9%, as 0.029 x 100% = 2.9%.
Now for the confidence interval, which is <u>percentage plus/minus margin of error</u>, thus:
The confidence interval is (29.1%, 34.9%).
A similar problem is given at brainly.com/question/16807970
Answer:
40
Step-by-step explanation:
1. multiply all terms by the same value to eliminate fraction denominators (n times 5/8 = n times 25/n)
2. cancel multiplied terms that are in the denominator (n times 5/8 = 25
3.re order terms so constants are on the left (5/8n =25)
4. combine multiplied terms into a single fraction (5n/8 = 25)
5. multiply all terms by the same value to eliminate fraction denominators (8 times 5n/8 = 8 times 25)
6. cancel multiplied terms that are in the denominator (5n=8 times 25)
7. multiply the numbers (5n = 8 times 25 5n= 200)
8. simplify (n=40)
Answer:
The answer is 28. I will explain below.
Step-by-step explanation:
Take a look at the angles, and determine what relationship they might be in. In this case, they are a pair of vertical angles. Recall that vertical angles are congruent, meaning the same measure. So set 3x+2 equal to 86, the equation looking like this: 3x+2=86. Now subtract the 2 from 86 to get 84, and you now have 3x=84. Divide 3x by three, and 84 by three. You should end up with x=28, and that's your answer.
