Above is a 7-sided die. A statistics student wants to know if the die is unfair. If the die is unfair, then each of the 7 outcomes are not equally likely. She rolled the die 75 times and recorded the outcome of each roll. Then, she used statistical software to conduct a chi-square goodness-of-fit test. She obtained the following output: Chi-Square Goodness-of-Fit Test: Count Observed and Expected Counts Category Observed Test Proportion Expected Contribution to Chi-Sq 1 7 0.142857 10.7143 1.29 2 10 0.142857 10.7143 0.05 3 15 0.142857 10.7143 1.71 4 12 0.142857 10.7143 0.15 5 9 0.142857 10.7143 0.27 6 8 0.142857 10.7143 0.69 7 14 0.142857 10.7143 1.01 Chi-Square Test N DF Chi-Sq P-Value 75 6 5.17 0.5218 At the 0.05 alpha level she should the null hypothesis. There that the die is unfair