<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer:
There is a 9/15 or 3/5
Step-by-step explanation:
There are a total of 15 cards, of those, 6 are red, so if you subtract 6 from 15, you get 9, which is the total amount of yellow and blue cards, which is what you were to not get a red card.
The answer is the last option: 
Explanation:
1. You have that the equation of the line is:
Where 
is the slope of the line and 
is the intercept with the y-axis.
2. Therefore, you must find .
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for , as following:
Answer:
166
Step-by-step explanation:
5/2=2.5
415/2.5
=166
Answer: (-0.086, 0.026)
Step-by-step explanation:
The confidence interval for the difference of two population proportion is given by :-
Given : Significance level : 
Critical value : 
Sample size : 
The 90% confidence interval for the difference in the population proportions will be :-
