# Frequency Distribution Test Vs. Chi Square Goodness of FIt

I need to prove that the higher frequency of an occurrence within a particular range is statistically significant. Let me explain this with an example:

X-axis has ages and Y-axis has the frequencies of humans sleeping more than 10 hours a day.
I need to prove that people below 10 years and above 80 years of age sleep more than 10 hours a day compared to those in other age groups (such as 10-20 yrs, 20-30,.... 50-60, etc.). A simple histogram can show you higher frequency but then each group also has different universe size. So something like hitrate might not be statistically correct.

I have looked into Chi-Square Goodness of Fit test but I'm not sure what a good choice of expected frequency would be in this case. Can you suggest the right approach to do this? Thanks.

$Y = b_0 + b_1\mathrm{age} + b2(\mathrm{age}<10) + b3(\mathrm{age}> 80)$