If the Type I Error ( ? )For a Given $\beta$

question 142

Multiple Choice

If the Type I error ( ? ) for a given test is to be decreased,then for a fixed sample size n

• A)the Type II error (\(\beta\))will also decrease.
• B)the Type II error (\(\beta\) )will increase.
• C)the power of the test will increase.
• D)a one-tail test must be utilized.

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Definitions:

Variables

Elements, features, or factors that are likely to vary or change among subjects in a study or a population.

Spearman Rank

An assessment of rank correlation using a non-parametric approach that evaluates the extent to which a monotonic function can accurately describe the relationship between two variables.

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Test Statistic

A number derived from sample information, employed in hypothesis testing to decide if the null hypothesis should be discarded.