A school administrator is curious what proportion of the 2,400 students at the school regularly eat breakfast. They take an SRS of 150 of these students, and 104 of them report that they regularly eat breakfast. The administrator wants to use this data to construct a one-sample zzz interval for a proportion. Which conditions for constructing this confidence interval did their sample meet? Choose all answers that apply:

a. The data is a random sample from the population of interest.
b. The observed counts of successes and failures are both sufficiently large.
c. Individual observations can be considered independent.

The conditions for constructing this confidence interval that the sample met are:

a. The data is a random sample from the population of interest.  

c. Individual observations can be considered independent.

Step-by-step explanation:

In constructing the one-sample z confidence interval for estimating a population proportion of 2,400 students who regularly eat breakfast, the school administrator requires her one-sample z to meet three important conditions.  These conditions include the random, normal, and independence conditions, and they validate the confidence interval.  In this case, only two conditions have been met: random (a) and independence (c).

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.