Answer
We fail to reject the Null Hypothesis. There is not enough evidence that the percent of pet owners that talk to their pets on the phone is not 37%.
Work Step by Step
Here we have $H_{o}$: p = 0.37, $H_{a}: p \ne 0.37$, n = 150, p = 0.37, $\hat p = 54/150 = 0.36$
Check the model requirements:
np(1-p) = 150 x 0.37 (1 - 0.37) = 34.97 > 10
Calculate the z-value using any z-value calculator:
z = +/- 1.96
$z = \frac{0.36 - 0.37}{\sqrt \frac{0.37(1-0.37)}{150}} = \frac{-0.1}{0.039} = -0.25$
Since -0.25 > -1.96, we fail to reject the Null Hypothesis.
