How Is the Significance Level Related to the Size of the Test

question 38

Essay

How is the significance level related to the size of the test statistic and the probability of a Type I error?

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Definitions:

Mean Weight

The average mass of an object or collection of objects, obtained by adding their weights together and dividing by the number of objects.

Two Tailed Test

A statistical test used to determine if there are differences in two directions, assessing the possibility of extreme outcomes in both tails of the distribution.

Test-statistic

A value calculated from sample data during hypothesis testing, used to determine whether to reject the null hypothesis.

Margin of Error

The margin of error is a statistic expressing the amount of random sampling error in a survey's results, indicating the range within which the true population parameter is expected to lie with a certain level of confidence.