62. Real estate. A national real estate magazine advertised that 15% of first-time home buyers had a family income below $40,000. A national real estate firm believes this percentage is too low and samples 100 of its records.

The firm finds that 25 of its first-time home buyers did have a family income below $40,000. Does the sample suggest that the proportion of first-time home buyers with an income less than $40,000 is more than 15%?

Comment and write up your own conclusions based on an appropriate confidence interval as well as a hypothesis test. Include any assumptions you made about the data.