Irena Blazes, the fire chief of Flares, Oregon, wants to introduce volunteers into the department but fears that employees will resist volunteers. Chief Blazes would like to use volunteers and wants to avoid potential labor problems. She has decided to introduce volunteers if 60% of the employees agree to work with them. She administers a survey to all 150 paid firefighters, and 90 respond. Among these 90 firefighters, 62 say that they agree to work with volunteers and accept them in the workplace. Given the results of this survey, should Chief Blazes proceed with her plans to introduce volunteer firefighters? What is the probability that she could obtain the survey results if 60% or fewer of the (paid) firefighters were willing to accept volunteers?
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