Sorry Tricia1000, if you have contradictory answers here. Google does not bother whether you apply through HubPages or blogger or from your won site for the Adsense approval.
All it needs is a substantial original content in the contnet URL given by the publisher. And Google is not very strict on the six month rule etc and it does not favor blogspot bloggers just because it is owned by it.
People have got adsense approval through Hubpages faster than through blogger. People once rejected have got approval again within a month to two months too. Google may not be consistent with this, but all it needs is a good original content and a trusted site.
It is OK if your application is rejected, you can apply again. Please ensure that you have enough, substantial original content. Rough thumbrule is to have about 15-20 quality hubs and achieving a daily traffic of about 50-100 page views.
Or achieve a hubscore of about 80 to 85 and then apply for Adsense (Hubscore has not got anything to do with Adsense approval, but if you achieve a score in the range of 80-85 means, you are a good citizen of HubPages and the chances of getting Adsense approval are high)
Best of Luck.