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

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