Suppose You Wish to Test the Null Hypothesis That Three

question 147

Essay

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:
a. Write the null and alternative hypotheses for testing the equality of the three binomial proportions.
b. Calculate the test statistic and find the approximate p-value for the test in the previous question.
c. Use the approximate p-value to determine the statistical significance of your results. If the results are statistically significant, explore the nature of the differences in the three binomial proportions.

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Definitions:

Acquisition

In learning theory, the process by which a new behavior is learned or a new association is formed, often discussed in the context of classical and operant conditioning.

Classical Conditioning

A learning process that occurs through associations between an environmental stimulus and a naturally occurring stimulus.

Extinction

The process by which a species, genus, or family of organisms becomes extinct, no longer existing and living in the world.

Spontaneous Recovery

The rebirth of an extinguished response after a break, without the need for relearning.