ANSWER:
There is enough evidence to reject the humane society claims
Explanation:
Given:
p = 0.3
q = 1 - p = 1 - 0.3 = 0.7
n = 210
x = 80
Therefore:

The critical values are:

The test statistic is:
![\begin{gathered} Z=\frac{\hat{p}-p}{\sqrt[]{(pq)/(n)}} \\ \text{ replacing:} \\ Z=\frac{0.381-0.3}{\sqrt{(0.3\cdot0.7)/(210)}} \\ Z=2.56 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/s6ow0vrfw0p91y9lyi9wt29y771d3kymmb.png)
Observe that
Z < 1.96
Therefore, reject the null hypothesis
There is enough evidence to reject the humane society claims