Provide an Appropriate Response $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$

question 84

Essay

Provide an appropriate response.
-Identify each of the variables in the Binomial Probability Formula. $P ( x ) = \frac { n ! } { ( n - x ) ! x ! } \cdot p ^ { x } \cdot q ^ { n - x }$
Also, explain what the fraction $\frac { n ! } { ( n - x ) ! x ! }$ computes.

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Definitions:

Test Statistic

A value calculated from sample data during a hypothesis test that determines whether to reject the null hypothesis.

Approximately Normal

Describes data that roughly follows a normal distribution, though it may not perfectly fit the normal curve.

Z Test Statistic

A type of statistical test where the test statistic follows a normal distribution under the null hypothesis.

Population Proportion

The fraction or percentage of a population that possesses a particular attribute or characteristic.