A political science professor would like to estimate the difference in the proportion of young voters and older voters in his state who believe that Congress has the same priorities as them. He wants to take a
sample of young voters and a sample of older voters to construct a two-sample z interval.
Which of the following are conditions for this type of interval?
Choose all answers that apply:
А)
The voters within each sample are independent, and the samples are independent of each
other.
B
The study includes an equal number of young and older voters.
С
Both samples include at least 30 voters.

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.