EPDS is an instrument (questionnaire) for depression in postpartum women. This instrument is designed so that a person with a higher EPDS score has a higher chance to be depressed. Use the PPD data to confirm this defining property of the instrument. More specifically,

(a) Use the Cochran-Armitage test to examine whether the proportion of depression increases as the EPDS becomes bigger.

(b) Use the Jonckheere-Terpstra test to test whether the depressed subgroup has larger EPDS.

(c) Compare(a) and(b) and summarize your finding.