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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?

A

$0.35\pm 1.96\sqrt { \cfrac { (0.35)(0.65) }{ 40 } }$

B

$0.35\pm 1.96\sqrt { (0.35)(0.65) }$

C

$0.35\pm 2.576\sqrt { \cfrac { (0.35)(0.65) }{ 40 } }$

D

$0.35\pm 2.576\sqrt { (0.35)(0.65)}$

E

$0.35$