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

question 89

Essay

In testing the hypotheses: $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The location of population A is to the right of the location of population B,
with data drawn from a matched pairs experiment, the following statistics are calculated: $n = 27$ , $T ^ { + } = 271$ , $T ^ { - } = 107$ .
a. Which test is used in testing the hypotheses above?
b. What is the p-value of this test?

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Definitions:

Population Growth

The increase in the number of individuals in a population over a specific period of time.

Real Per Capita Output

The total real output of an economy divided by the population, measuring the average economic output per person in real terms, adjusted for inflation.

Real Output

The quantity of goods and services produced, adjusted for inflation, reflecting the actual productivity of an economy.

Real GDP

Gross domestic product adjusted for inflation; gross domestic product in a year divided by the GDP price index for that year, the index expressed as a decimal.