In Testing the Hypotheses $H _ { 0 } :$ The Two Population Locations Are the Same

question 98

Essay

In testing the hypotheses: $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The two population locations are different,
with data drawn from a matched pairs experiment, the following statistics are calculated: $n = 40$ , $T ^ { + } = 238$ , $T ^ { - } = 582$ .
a. Which test is used for testing the hypotheses above?
b. What is the p-value of this test?

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Definitions:

Equal Worth

The principle that all individuals have the same intrinsic value, regardless of their circumstances, and should be treated with dignity and fairness.

Maximum Extent

The greatest possible degree or limit to which something can be extended or enlarged.

Utilitarianism

A moral philosophy that bases the rightness or wrongness of actions on their consequences, especially their ability to bring about the greatest happiness for the greatest number of people.

Intentions

The plans or desires that one has in mind to carry out an action.