A Business Professor Conducted a Campus Survey to Estimate Demand $\alpha = 0.05$

question 59

Multiple Choice

A business professor conducted a campus survey to estimate demand among all students for a protein supplement for smoothies and other nutritional drinks. Each of 113 students, randomly
Selected from all students on campus, provided the following information: (1) How health conscious are you? (Very, Moderately, Slightly, Not very)
(2) Do you prefer protein supplements in your smoothies? (Yes, No)
As part of his analysis, the professor claims that whether or not the student prefers a protein supplement in smoothies is independent of health consciousness level (Very, Moderate, Slightly, or Not very) . Use the chi-square distribution to determine the rejection region for this test when testing at $\alpha = 0.05$ .

• A) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 5.99147\)
• B) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 9.48773\)
• C) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 7.81473\)
• D) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 9.34840\)

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Definitions:

Filum Terminale

A slender filament of connective tissue that extends from the bottom of the spinal cord and anchors it within the vertebral column.

Conus Medullaris

The tapered, lower end of the spinal cord, found at the level of the first and second lumbar vertebrae.

Cerebrum

The largest part of the brain, responsible for voluntary activities, intelligence, memory, and personality.

Sulcus

A groove or furrow on the surface of an organ, often referring to the brain, indicating a division between lobes or gyri.