Answer
No, see explanations.
Work Step by Step
Given $n=300, \hat p=0.18, p=0.204$
a. State the hypotheses and identify the claim.
$H_o: p=0.204$
$H_a: p\ne 0.204$ (claim, two tail test)
b. Find the critical value(s).
$\alpha=0.05, \alpha/2=0.025, |z_c|=1.96$
c. Compute the test value.
$z=\frac{0.18-0.204}{\sqrt {0.204\times0.796/300}}=-1.03$
d. Make the decision.
$z\gt -1.96$ we do not have enough evidence to reject the null hypothesis.
e. Summarize the results.
At the 0.05 level of significance, it does not differ from the national proportion.
