For their statistics project, a group of students want to determine the proportion of LMC students who eat fast food frequently. They select a random sample of 50 students and find that 22 report eating fast food frequently (more than 3 times a week.)

The number of successes is, x = 22.

The number of failures is, (n - x) = 28.

Yes, normality conditions are met.

Step-by-step explanation:

The complete question is:

For their statistics project, a group of students want to determine the proportion of LMC students who eat fast food frequently. They select a random sample of 50 students and find that 22 report eating fast food frequently (more than 3 times a week.)

What is the count of success? Options are: 22,28, 50

What is the count of failures? Options are: 22,28,50

Can the students use this data to calculate a 95% confidence interval? Options are: Yes, normality conditions are met or No, normality conditions are not met

Solution:

Let X denote the number of LMC students who eat fast food frequently.

A random sample of n = 50 students and find that 22 report eating fast food frequently.

The number of successes is, x = 22.

The number of failures is, (n - x) = 28.

The random variable X follows a Binomial distribution with parameters n = 50 and p = 22/50 = 0.44.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1.np ≥ 10

2.n(1 - p) ≥ 10

Check the conditions as follows:

Thus, a Normal approximation to binomial can be applied.

Yes, normality conditions are met.

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all