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In a Hypothesis Test, Increasing the Sample Size Will Generally

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In a hypothesis test, increasing the sample size will generally result in a smaller chance of making a Type I error since sampling error is likely to be reduced.


Definitions:

P(x = a)

The probability that the random variable X is equal to some value a.

Continuous Random Variable

A type of random variable that can take an infinite number of possible values in a continuum or interval on the number line.

P(x > a)

Represents the probability of a random variable X taking a value greater than a specific number a.

P(x = a)

Represents the probability that a discrete random variable X takes on a specific value a.

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