Question

You randomly observe purchases at a candy store and record the weight of each bag of candy with 100 different customers. You find the proportion of weights greater than 2 pounds. Is investigating this sample proportion the same as investigating the sampling distribution of the proportion?

Answer 1

No, in this case the two components in question would be different. On one hand, investigating the sample proportion refers to the specific amount that is seen to be distributed on average. However, with sampling distribution, this refers more specifically to how much is distributed on a long-term basis.

Answer 2

Solution:

→→When you are talking about sample proportion You are considering a Single ,set of same kind of Data,Like body weight of  Students in a class, from which you are taking out samples for Observation.

For example, A colony is being studied whether each human in that colony is healthy or not by checking their body mass index.

→→When we are investigating or considering Sampling Distribution we consider two different sets or kinds of Data set Possessing Similar Characteristics because we have to compare these two sets of Data.

For example , Take two colonies A and B , Check their honesty by observing how many floors they have made in their Plot.Whether they care or don't care about their Surrounding or Mother Earth by looking, if number of floors exceeds than 2 i.e ground floor and first floor , it means Dishonest , if maximum number of floor =2 ,it means honest.

No, investigating this sample proportion is not  same as investigating the sampling distribution of the proportion.