Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
<u>Check conditions for a 1-proportion z-interval:</u>
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
<u>Given:</u>
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
(18,269.82)
The answer is A.
Thank you :)
Answer:
Maksim's answer and explanation are not correct
The actual domain is 2 < x < Infinity
Step-by-step explanation:
The domain of a function is the set that is made up of the possible inputs of the function
The given function is f(x) = √(x - 2)
Maksim's response for the domain of f(x) is x ∈ R ('x' is a member of the set of all real numbers
The function is not defined when x < 2, at which the expression, x - 2, will become negative, and for which the square root of the negative number is imaginary
Therefore, the domain for which the function is defined is all real numbers larger than 2, which can be presented as follows;
The domain of f(x) = 2 < x < ∞
Therefore Maksim is wrong as the actual domain is limited to 2 < x < ∞.