Question

A researcher creates two random samples, each with a sample size of 8. Hedoes not find a statistically significant difference between the two groups.Which of the following statements is correct? Select all that apply.A. Since the sample size of each group is greater than 5, theconclusion is likely to be true.B. Since random samples were used, the conclusion is likely to betrue.C. Increasing or decreasing sample size does not impact theoutcome of a statistical analysis.D. Since the sample size is so small, the conclusion is likely to beuntrue.

Answer 1

This question is about statistical samples.

In statistics, samples are used to study a certain number of subjects to demonstrate a hypothesis.

Now, in order to rely on the results of the statistical analysis, samples must represent a greater population, otherwise, the study won't have enough reliability to be true.

For example, let's say we are studying the behavior of people after drinking alcohol, a population would be a complete state of the nation, a sample could be a specific location inside that state. However, if we only study 20 people to such study, we can't rely on the results to be true, because the sample is too little.

Therefore, in this case, the right answer is D., since the sample is too small.

D. Since the sample size is so small, the conclusion is likely to be untrue.