i need to find the 10%condition of this:

Question

i need to find the 10%condition of this: 33% of 75 name brand chickens are contaminated and 45% of 75 generic chickens are contaminated, what is the 10% condition?

Answer 1

Hello, thank you for taking the time to post your question!

What this question is getting at is that the sample size must be no more than 10% of the total population size (N). For this example, that means that any sample taken from the 75 chickens should be no more than 75 x 10% = 7.5 chickens total

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

The ten percent condition says that if np (where n is 75 and p is .33 for name brand chickens) is greater than or equal to 10 then we can consider this a normal approximation and not a binomial. So in the case of name brand chickens np=25 and in generic, 33.75 so both are normal approximations.

 

Hope that helps,

Deanna