Skepticism toward Islam is particularly high among the elderly, the survey by Infratest dimap for the Westdeutscher Rundfunk (WDR) broadcasting company found.
As many as 58 percent of the individuals polled believe that the major German political parties do not take the issue of radical Islam seriously enough, the poll's results showed.
Approximately every second German citizen — about 52 percent of those polled — believes that Islam would further affect Germany due to the mass influx refugees, while 47 percent disagree with this statement.
Germany has become a key destination for the mostly Muslim migrants fleeing war and poverty since the start of 2015.
On New Year's Eve, hundreds of women in several German cities, most notably in Hamburg and Cologne, were allegedly robbed, threatened and sexually assaulted by as many as 1,000 men of Arab and North African appearance, who were reportedly divided in small groups. Shortly afterward, national polls showed that personal safety concerns had increased in Germany, with over half of Germans afraid of walking alone and preferring not to leave their homes after dark.