Use the Normal Approximation to Find the Indicated Probability $p$ , And

question 85

Multiple Choice

Use the normal approximation to find the indicated probability. The sample size is population proportion of successes is $p$ , and $X$ is the number of successes in the sample.
$$n = 78 , p = 0.75 : P ( X < 68 )$$

• A) 0.9906
• B) 0.0094
• C) 0.9890
• D) 0.9920

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Definitions:

Chi-square Distribution

A statistical distribution that describes the distribution of the sum of the squares of a set of variables, often used in hypothesis testing.

Random Variable

A variable that can take on numerical values based on the outcomes of a random event.

Value

The importance, worth, or usefulness of something or a numerical quantity measured or assigned or computed.

Test Statistic

A statistic calculated from sample data, used to assess the plausibility of a hypothesis.