Let a and B Be Events in a Sample Space

question 119

Short Answer

Let A and B be events in a sample space S such that , , and . Find: . Give the answer to two decimal places, if necessary.
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Definitions:

Two-Tail Test

A statistical hypothesis test in which the critical area of a distribution is two-sided and tests whether a sample is either greater than or less than a certain range of values.

Sample Proportions

The ratio of members within a sample that satisfy a given characteristic, often used to estimate the proportion of the characteristic in the entire population.

Standard Error

The standard deviation of the sampling distribution of a statistic, often used in constructing confidence intervals around a sample statistic to estimate the population parameter.

Test Statistic

A metric deduced from a sample's data in the process of hypothesis testing, which aids in determining the rejection of the null hypothesis.