The central problem in the case of one sample hypothesis test is to determine
A)if a sample is random.
B)if sample statistics are the same as those of the sampling distribution.
C)if parameters are representative of population.
D)if a sample came from a population with a certain characteristic.

Question

Quizplus · Accepted Answer

The central problem in the case of one sample hypothesis test is to determine if a sample came from a population with a certain characteristic. This means testing whether the sample data supports or contradicts a hypothesis about the parameter(s) of interest, based on the assumption that the sample is representative of the population. In other words, we want to know if the observed difference between the sample statistic and the hypothesized population parameter is due to chance or reflects a real difference. Therefore, the null hypothesis is typically a statement about the population parameter(s), and the alternative hypothesis is a statement that contradicts the null hypothesis. The choice A is related to sampling methods, which is important for obtaining a representative sample, but not the central problem in hypothesis testing. The choice B is also related to the properties of the sampling distribution, but not the main focus of hypothesis testing, which is to infer about the population parameter(s) based on the sample data. The choice C is relevant to the validity and generalizability of the research results, but not the specific aim of hypothesis testing, which is to make a decision about the null hypothesis.

The Central Problem in the Case of One Sample Hypothesis