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Answer: A statement about the value of a population parameter developed to test a theory or belief.
A hypothesis in statistics is a statement about the value of a population parameter that is developed to test a theory or belief. It describes an assumption about the true value of the parameter, such as the mean or standard deviation. For example, a hypothesis may be formulated as "the mean monthly return on stock options is positive" or "the mean monthly return on stock options is greater than 10%". The purpose of a hypothesis is to test the validity and accuracy of a belief about the parameter, and to determine whether the observed data supports or contradicts the hypothesis. **Key points:** - Option A is too vague and doesn't specify it's about population parameters - Option B describes prior knowledge or belief, not the formal hypothesis itself - Option C describes hypothesis testing procedure, not the definition of hypothesis - Option D correctly captures the essence: a formal statement about a population parameter used for testing theories
Author: Tanishq Prabhu
Which of the following best defines the term "hypothesis" as used in statistics?
A
An assumption about a problem.
B
The current state of knowledge or belief about the value of a population parameter.
C
A test that divides the sample space into a region of acceptance and the critical region.
D
A statement about the value of a population parameter developed to test a theory or belief.
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