In an experiment using 30 mice, the sample proportion of the mice that gained weight after a drug injection is 0.65. what is the 99.7% confidence interval for the actual proportion in the population?
a: between 0.602 and 0.697
b: between 0.563 and 0.737
c: between 0.476 and 0.824
d: between 0.389 and 0.911

The correct option is d.

Step-by-step explanation:

The formula for confidence interval for the actual proportion in the population is

Where, p is population proportion, n is sample size and z* is the tabulated value of z at given confidence interval.

The value of z* is 3 for 99.7% confidence interval.

Therefore the 99.7% confidence interval for the actual proportion in the population is between 0.389 and 0.911. Option d is correct.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!