Set Up the Null and Alternative Hypotheses for Testing Whether $H _ { 0 } : \beta _ { 1 } = 0$

question 86

Short Answer

Set up the null and alternative hypotheses for testing whether a positive linear relationship exists between SALARY and GMAT in the situation above. A) $H _ { 0 } : \beta _ { 1 } = 0$ vs. $H _ { a } : \beta _ { 1 } > 0$
B) $H _ { 0 } : \beta _ { 1 } = 0$ vs. $H _ { \mathrm { a } } : \beta _ { 1 } \neq 0$
C) $H _ { 0 } : \beta _ { 1 } = 228$ vs. $H _ { \mathrm { a } } : \beta _ { 1 } > 228$
D) $H _ { 0 } : \beta _ { 1 } > 0$ vs. $H _ { \mathrm { a } } : \beta _ { 1 } < 0$

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Definitions:

Conjunctions

Words that connect clauses, sentences, or words in the same sentence to coordinate thoughts and ideas.

Connective

A term or element used in logic and language to link propositions, sentences, or words in a coherent way to construct complex statements.

Symbol

A symbol is a mark, sign, or word that indicates, signifies, or is understood as representing an idea, object, or relationship.

Main Connective

In logic and mathematics, the main connective is the operator in a logical formula which has the widest scope, essentially determining the main relationship between the elements of the proposition.