Booster Can Boost Effectiveness Against Omicron To 88%, UK Studies Show
Covid Booster Dose: The findings compiled in a report by the UK Health Security Agency (UKSHA) show significantly higher protection provided by third vaccine dose.

https://www.ndtv.com/world-news/coronavirus-vaccine-coronavirus-vaccine-news-coronavirus-booster-news-booster-can-boost-effectiveness-against-omicron-to-88-uk-studies-show-2685771

Eric Topol, professor of molecular medicine, and director of the Scripps Research Translational Institute in the US noted that vaccine effectiveness drops to 52 per cent against Omicron around six months after taking the second shot of a COVID-19 vaccine.

However, a booster dose substantially increases immunity and lowers the odds of being hospitalised with COVID-19 infection.

"That's a big boost of protection for 3rd dose vaccine vs hospitalisation from Omicron infection. Vaccine effectiveness increased from 52 per cent (due to 2-dose waning after 6 months) to 88 per cent after the 3rd dose," Topol tweeted on Sunday.

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https://www.reuters.com/business/healthcare-pharmaceuticals/omicron-evades-immunity-better-than-delta-danish-study-finds-2022-01-03/

Omicron 2.7-3.7x more infectious than Delta among vaccinated
Booster-vaccinated less likely to transmit coronavirus
Risk of hospitalisation from Omicron half that of Delta

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Note:
I need to find articles, but as the positivity rate goes up, the hospitalization rate is too - and so are the deaths. I need to find an article that has the US numbers - it's what I'm interested in right now.