Answer:
the margin of error is 0.029
Step-by-step explanation:
The computation of the margin of error is as follows;
Point estimate = sample proportion
[tex]= \hat p[/tex] = x ÷ n = 672 ÷ 1019 = 0.659
Now
= 1 - [tex]\hat p[/tex]
= 1 - 0.659
= 0.341
[tex]Z\alpha/2[/tex] = Z_0.025 = 1.96
Now
a) Margin of error = E is
[tex]= Z\alpha / 2 \times \frac{((\hat p \times (1 - \hat p ))}{(\sqrt / n)} \\\\= 1.96 (\sqrt \frac{ (0.659 \times 0.341)}{(1019)} \\\\= 0.029[/tex]
Hence, the margin of error is 0.029
