Almost three-quarters (74%) of people surveyed by ITV News believe that people accused of sexual assault should be given anonymity until proven guilty.
It comes after a succession of veteran celebrities have faced accusations, and in some cases convictions, for sexual crimes dating back many years.
Former Deputy Commons Speaker Nigel Evans, who was acquitted of sexual assault charges earlier this year, has called for anonymity of individuals involved in police investigations unless they are convicted.
The ITV News/ComRes Index also found that almost two-thirds (64%) of respondents believe investigations into historical cases of sexual assault by celebrities should continue until they have all come to light.
More top news
The Bank of England has launched a secret project looking at the economic risk to Britain if the country votes to leave the European Union.
The actress and The Only Way Is Essex star Mark Wright will become husband and wife over the Bank Holiday weekend.
The annual event has earned a place in the record books ahead of the grand final of the 60th anniversary show in Austria this evening.