The Following Are the Hypotheses for a Test of the Claim

question 41

Multiple Choice

The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent.
$H _ { 0 }$ : College graduation status and cola preference are independent.
$H _ { 1 }$ : College graduation status and cola preference are dependent.
If the test statistic: $\chi ^ { 2 } = 0.579$ and the critical value is $\chi ^ { 2 } = 5.991$ , what is your conclusion about the null hypothesis and about the claim?

• A) Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
• B) Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
• C) Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
• D) Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.

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Definitions:

Carbon

A chemical element with symbol C, capable of forming many compounds, essential for life, and a major component of biomolecules.

Polypeptide Chain

A linear organic polymer consisting of a large number of amino acid residues bonded together in a chain, forming part of or the whole of a protein molecule.

Amino Acids

Amino acids are organic compounds that combine to form proteins, serving as the building blocks of life, containing an amino group (-NH2) and a carboxyl group (-COOH).

Sucrose

A disaccharide sugar composed of glucose and fructose, commonly known as table sugar, used extensively as a sweetener.