The department of education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,000. a random sample of 34 students had an average debt load of $18,200. it is believed that the population standard deviation for student debt load is $4,200. the department of education would like to set α = 0.05. which one of the following statements is true?

because the p-value is greater than α, we fail to reject the null hypothesis and conclude that the average debt load is equal to $17,000.

because the p-value is less than α, we reject the null hypothesis and conclude that the average debt load is equal to $17,000.

because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average debt load is not equal to $17,000.

because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average debt load is not equal to $17,000.