Let p denote the true proportion of college students who support the movement to colorize classic films. Let the random variable X denote the number of students (out of n) who prefer colorized versions to black and white. What is the smallest sample size for which the probability is 80% that the difference between X n and p is less than 0.02?

answer: the correct answer is -32

step-by-step explanation:

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.