A Health Foods Store Owner Is Thinking About Carrying Some

Multiple Choice

A health foods store owner is thinking about carrying some new products and is interested in her customer's opinions. The shop owner decides to randomly sample 202 customers and ask them whether they have (a) heard about the health benefits of coconut milk and (b) whether they have heard of the health benefits of Quinoa flour. She also asked each respondent how often they typically make purchases during a month. The table below shows the results from the study.
Assume all conditions for testing have been met. $\begin{array}{|l|c|c|c|}\hline & 1-2 \text { purchases/mo. } & \text { 3+ purchases/mo. } & \text { 5+ purchases/mo. } \\\hline \text { Coconut milk, yes? } & 57 & 21 & 11 \\\hline \text { Coconut milk, no? } & 12 & 11 & 10 \\\hline \text { Quinoa flour, yes? } & 19 & 25 & 10 \\\hline \text { Quinoa flour, no? } & 10 & 8 & 8 \\\hline\end{array}$
Test the hypothesis that how the respondents answered the questions is associated with number of monthly purchases, using a significance level of $0.05$ . Choose the correct decision regarding the null hypothesis and conclusion. Refer to the computer output below.
$\begin{array} { | l | } \hline \chi ^ { 2 } - \text { Test } \\X ^ { 2 } = 19.43852896 \\p = .0034836969 \\\mathrm { df } = 6\\\hline \end{array}$

A) Reject the null hypothesis; how the respondents answered the questions and number of monthly purchases are associated.
B) Fail to reject the null hypothesis; how the respondents answered the questions and number of monthly purchases are not associated.
C) Fail to reject the null hypothesis; how the respondents answered the questions and number of monthly purchases are associated.
D) Reject the null hypothesis; how the respondents answered the questions and number of monthly purchases are not associated.