Both are important to Baha'is. One of our fundamental pinciples is the harmony of science and religion.
Science and Religion | What Bahá’ís Believe
Religion and Science are inter-twined with each other and cannot be separated. These are the two wings with which humanity must fly. One wing is not enough. Every religion which does not concern itself with science is mere tradition…. Therefore science, education and civilization are most important necessities for the full religious life. –
Abdu’l-Baha in London, p. 28-29.
God has endowed man with intelligence and reason whereby he is required to determine the verity of questions and propositions. If religious beliefs and opinions are found contrary to the standards of science they are mere superstitions and imaginations; for the antithesis of knowledge is ignorance, and the child of ignorance is superstition. Unquestionably there must be agreement between true religion and science. If a question be found contrary to reason, faith and belief in it are impossible… –
Abdu’l-Baha,
Baha’i World Faith, p. 239.
Unity of Science & Religion
Science aside, by knowledge I mean, for example, I know my aunt was alive. In this case, science wasn't a factor (not really a science person) but the experience and relationship with her as a physical person let me know she was alive.
On the other hand, I may put faith in my deceased family with whom I never met who may or may not would have even understood this generation if they were alive today. However, "unlike my aunt" (not both), I can only communicate with them by spirit, prayer, and general conversation.
Likewise with god.
I assume that faith and believe would be a cornerstone of one's belief in god given, like my deceased family, we can't "see or hear" him. Though, like the Muslim woman I spoke with, since she said she knew I assume that her perspective was different (not right or wrong or anything). I respected her for that, because many christians I know say they have faith, believe, experience but then life comes with knowledge (does not need to be scientific).
I haven't asked her about objective evidence with god, but it didn't seem like I needed to. I can't remember the rest of the conversation but it was a different perspective I'm not used to from christians I speak with.
Bahai, on the other hand, I'm not sure. I'm getting mixed signals.
Science aside. I'm not asking you to take sides and toss one out over another. It's kind of like asking you do you like blue or orange. I'm not saying toss the colors, just what's your preference.