Which of the following applies to random sampling? group of answer choices a) the sample may be larger than the population. b) observations in the population can be selected for the sample only once. c) smaller samples are less likely than larger samples. d) all observations in the population are equally likely to be selected into the sample.

 d)

Explanation:

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. It also has the characteristic that a simple random sample is meant to be an unbiased representation of a group.

In a simple random sample, the sample is always smaller than the population (since it's a subset of it).

There are also two kinds of random sample, one with replacement (in which the same element is put back into the population and it can be taken for the sample again, thus is being selected more than once) and one without replacement (in which every element can only be selected once).

There is no really a standard size for each sample as long as it is smaller than the population, however, smaller samples can tend to reduce reliability and therefore can bias our experiment so they are not recommend. Also the idea of the sample is that we can generalize our observations into the general population and this can happen with larger samples.

Thus, the characteristics that apply to random sampling are:

d) All observations in the population are equally likely to be selected into the sample.

the anti federalists was a movement that was opposed to the creation of a us federal government. although they were not as organized as the federalists, they also had a large group of leaders, especially in state politics.

the statement "now, in a large extended country, it is impossible to have a representation, possessing the sentiments, and of integrity, to declare the minds of the people” represents the concerns of the anti federalists.

they strongly believed that the federalists were representing the interests of aristocratic elements of society at the expense of the majority of ordinary people, who lived in a rural society.

their fear for the creation of a strong federal government and the president’s power of veto in their opinion would create a tyrannical rule that would dominate the people. they defended the importance of restraining the government’s power towards people at any cost.