Based on the data provided in a known website article entitled"Tuition Fee Guide: 2019 Cost of College Education in the Philippines", the average tuition fee in private colleges and universities is greater than P145,000 a year. Suppose that we want to perform a hypothesis test to find whether the average tuition fee is greater than P145.0.

a. Determine the null and alternative hypothesis for the hypothesis test.

b. Classify the hypothesis as two-tailed, left-tailed, or right-tailed.