When Testing Linear Restrictions,the Test Statistic Is Assumed to Follow

question 81

Multiple Choice

When testing linear restrictions,the test statistic is assumed to follow the y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε,you wish to test H₀: β₁ = β₂ versus H_A: β₁ ≠ β₂ The value of the test statistic is F_(1,30) = 7.75 and its associated p-value is 0.0092.At the 1% significance level,the conclusion is to ____________________________________________________________________________.

• A) reject the null hypothesis and conclude that the influence of x1 and x2 on y is the same
• B) reject the null hypothesis and conclude that the influence of x1 and x2 on y is not the same
• C) not reject the null hypothesis and conclude that the influence of x1 and x2 on y is the same
• D) not reject the null hypothesis and conclude that the influence of x1 and x2 on y is not the same

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Definitions:

Mating Between Relatives

The breeding of organisms that are closely related genetically, often leading to an increased chance of hereditary health problems.

Population Genetics

The study of the distribution and changes of allele frequency in a population, as influenced by evolutionary processes.

Allele Frequencies

The relative frequency of different alleles of a particular gene in a given population, essential in studying genetic variation and evolution.

Genetic Variability

The variation in the DNA sequence in each of our genomes, which is essential for a population's adaptability to changing environments.