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Suppose you wish to test the null hypothesis that three binomial parameters ,
, and
are equal versus the alternative hypothesis that at least two of the parameters differ. Independent random samples of 100 observations were selected from each of the populations. The data are shown in the table:
Write the null and alternative hypotheses for testing the equality of the three binomial proportions.
:
______________
Test statistic: = ______________
What is the p-value?
______________
______________ .
There is ______________ sufficient evidence to indicate that the proportions depend upon the population from which they were drawn.
Conditional Probability
The likelihood of an event or outcome occurring, given that another event has already occurred.
Given Event
An occurrence or outcome within a probability space that has a specified probability attached to it.
Independent Events
Two or more events whose outcomes do not affect each other, meaning the occurrence of one event does not change the probability of the other.
Probability
A measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 1 indicates certainty.
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