Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. a survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. a. 0.444 < p < 0.500 b. 0.438 < p < 0.505 c. 0.471 < p < 0.472 d. 0.435 < p < 0.508

 Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Sample size = 865 = n

Number of voters favor approval of an issue before the legislature = 408 = x

So,

At 95% confidence level of significance, z = 1.96

So, confidence interval would  be

Hence, option 'c' is correct.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

b, i believe, but not sure.