Moderate# One Proportion $z$-Interval: Indoor Cats

APSTAT-JLXL4B

A veterinarian was interested in the proportion of homeowners who had strictly indoor cats. She randomly selected $40$ homeowners and found that $14$ of them had cats that were indoor-only.

Which of the following represents a $99\%$ confidence interval for the true proportion of homeowners that have cats that stay indoors?