Cate randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $20,340 with a standard deviation of $2,494. Using the alternative hypothesis that < $21,706, Cate found a z test statistic of -2.74.

Given the data provided, what is the p-value of the z-test statistic? Answer choices are rounded to the thousandths place.

• a.)
• 0.006
• b.)
• 0.994
• c.)
• 0.997
• d.)
• 0.003