If the majority of the residents of the apartment complex complain that their apartments are infested with ants, then the management of the complex will have to engage the services of an exterminator. But the majority of the residents of the complex indicate that their apartments are virtually free of ants. Ttherefore, the management of the complex will not have to engage the services of an exterminator.
The argument that 'Most employees will attend the company picnic if the entertainment committee is successful in getting a certain band to play at the picnic, but that band will be out of the country on the day of the picnic, so it is not true that most employees will attend' contains a flawed pattern of reasoning parallel to that contained in the argument above.