Answer:
a) (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Step-by-step explanation:
Given that:
For male students: number of male students (
) = 69, number who liked the new method (x) = 38
For female students: number of female students (
) = 73, number who liked the new method (x) = 20
a) The probability that a male student like the new method (
) is given as:

The probability that a female student like the new method (
) is given as:

c = 95%, α = 1 -c = 0.05

the difference between the proportions of male and female students who like the new method better =
±
=
±
= (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Answer:
600 beans
Step-by-step explanation:
If there are 300 pinto beans and the ratio is 1:1 there would have to be 300 black beans making 600 total.
It would be $480. If it was sold at $120 and was reduced by 1/4, you would multiply 120 by 4, giving you 480.