Answer
Type II error: to not reject that 38% of adults with children under the age of 18 ate dinner with their family 7 nights a week (null hypothesis) when, in fact, the percentage is less than 38%.
Or, to not reject that $p=0.38$ when $p\lt0.38$
Work Step by Step
This happens when the true $p\lt0.38$, but $P$-value $\gt α$.