A relationship study claims that $18\%$ of couples have initiated marriage counseling. A random sample of $400$ couples found that $80$ had initiated counseling. Construct a $95\%$ confidence interval for the population proportion and state whether the study's claim of $18\%$ is consistent with the sample data.

$(0.1501,0.2336)$

The claim $0.18$ is inconsistent with the data

$(0.1608,0.2392)$

The claim $0.18$ is consistent with the data

$(0.1708,0.2190)$

The claim $0.18$ is consistent with the data

$(0.1480,0.2650)$

The claim $0.18$ is inconsistent with the data