Believe:
If anything, Rosh Chodesh is a raya that women aren’t Jewish. The source for Rosh Chodesh being a women’s holiday is the Pirkei D’Rabbi Eliezer (perek 44) which says:
?? ???? ??? ???? ???? ???? ??’ ?? ??? ???’ ?????? ??? ?? ??? ???? ??? ?? ?????? ??? ????? ???’ ??? ??? ?? ???? ????? ????? ????? ???????? ???? ???? ??? ???? ???? ????? ??? ???? ????? ???? ?????? ??????? ??? ???? ??? ??? ????? ????? ???? ?????? ???? ?? ?? ????? ?? ???? ??? ???? ??”? ???? ?? ???? ???”? ????”? ??? ??? ??? ??? ???”? ???”? ??? ?????? ???? ????? ??’ ?????? ???? ???? ????? ???? ??????? ??? ?????? ??? ???? ????? ???? ?? ?????? ??????? ??? ???? ???? ??? ?????? ??????? ????? ??????? ?????? ?????? ????? ?? ?????? ???????? ????? ??’ ??????? ?? ??? ?? ???? ???? ??? ??????? ????? ????? ??? ???? ??? ??? ???????
Since the women refused to give their jewelry for the Golden Calf they were rewarded with Rosh Chodesh. Now let’s look at the pesukim which describe this event. Exodus Perek 32:
Verse 1 says:
???????? ?????
Verse 2 says:
???????? ??????? ???????? ?????? ?????????? ?????????
Verse 3 says:
??????????????? ???? ?????
Verse 6 says:
????????? ?????
It is clear from this that the Torah refers to the Nation of Israel several times (one of which explicitly states “The ENTIRE Nation”) in which we know that it is only referring to the men. In fact the very same Pirkei D’Rebbi Eliezer just a few lines later says:
???? ?? ????? ?? ???? ???? ????? ??????? ?? ?????? ??
Perforce, women are not Jewish.