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answer a,b and c 2 Simple Random Sample. An important element of this apter is t

ID: 3068576 • Letter: A

Question

answer a,b and c

2 Simple Random Sample. An important element of this apter is the concept of a a. What is a simple random sample? b When the Bureau of Labor Statistics conducts a survey. it begins by partitioning the United States adult popula- tion into 2.007 groups calledl primary sampling units. Assume that these primary sampling units all contain the same number of adults. If you randomly select one adult from each primary sampling unit, is the result a simple random sample? Why or why not? c. Refer to the primary sampling units described in part b and describe a sampling plan that results in a simple random sample

Explanation / Answer

A) simple random sampling is a sampling method in which the sample elements are selected from the population in such a manner that the probability of selection of each individual element is equal. Thus the elements are selected in a pure random fashion, with no priority to any other element.

B) No the result is not a simple random sample, as the probability of selection of element is dependent on its group in which it lies. Suppose we selected a element from a group, initially it's probability of selection = probability of selecting any group * probability of selecting a element from that group.

Now after the probability of selection of all elements belonging to that group becomes zero as now the elements are selected from another groups.

C) from the given primary sampling units if we want to have a simple random sampling plan, then the restriction of selecting only one element from each group has to be removed thus we can select any number of elements from each subgroup, hence the probability of selection of all the elements remain same at any point of time.