A Researcher Selects a Sample from a Population with μ

question 78

Multiple Choice

A researcher selects a sample from a population with μ = 30 and uses the sample to evaluate the effect of a treatment.After treatment,the sample has a mean of M = 32 and a variance of s² = 6.Which of the following would definitely increase the likelihood of rejecting the null hypothesis?

• A)Increase the sample size
• B)Increase the sample mean
• C)Decrease the sample variance
• D)All of the other options will increase the likelihood of rejecting the null hypothesis.

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Definitions:

Test Statistic

A numerical value derived from sample data that measures the degree of conformity with a null hypothesis in statistical hypothesis testing.

Type I Error

The error of rejecting the null hypothesis when it is actually true, commonly referred to as a "false positive".

Criminal Trial

A legal proceeding in which a person accused of a crime is tried in a court of law, where evidence is presented to determine guilt or innocence.

Null Hypothesis

A hypothesis that assumes no significant difference or effect, serving as the default assumption in hypothesis testing.