A national real estate magazine advertised that 15% of first home buyers had family income below $40,000. A national real estate firms believes this percentage is too low and samples 100 of its records. The firm finds that 25 of its first home buyers did have family income below $40,000. Does the sample recommend that the proportion of first home buyers with income less than $40,000 is more than 15%? Comment and write down your own conclusions based upon an appropriate confidence interval as well as a hypothesis test. Include any assumptions you made about the data.