A product analyst knows whether the proportion of people in her state who prefer hot dogs to hamburgers varies from state to state. She samples 50 random people from Idaho and 50 random people from Oklahoma for their cookout preferences and finds that 18% of the people in Idaho prefer hot dogs, while 22% of the people in Oklahoma prefer hot dogs. Are the conditions for performing a z-test for the difference between population proportions satisfied. Select all that apply

a. The samples are random.
b. The samples are independent.
c. The values of n1p1, n1q1, n2p2 and n2q2, are all at least 5.
d. None the conditions are satisfied.

The answer is "Option a, b , and c".

Step-by-step explanation:

The given sample is random and it is independent which can be defined as follows:

That's why option "a,b, and c" is correct.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.