Customers of the Sky Mountain Grocery chain are routinely asked at the checkout whether they prefer paper or plastic bags for their purchases. In a recent study, researchers observed the type of bag specified and surveyed the customer for other information, including his or her level of education. For the 175 persons in the sample, bag selection and education levels were as shown below. At the 0.01 level, is bag selection independent of education level? Based on the chi-square table, what is the most accurate statement that can be made about the p-value for the test?

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Education Level High Some College Graduate School College Grad Study 63 58 554 10 175 Bag Pape 14 13 34 Selection Plastic 17 19 No Preference 8 28 13 39 60