Answer:
(0.5446, 0.6554)
Step-by-step explanation:
As the sample is sufficiently large, the formula is used to estimate the proportion shown in the attached image.
Where:
P: sample proportion = 0.6
n: Sample size = 300
[tex]1-\alpha[/tex]: Confidence level = 0.95
α: Significance = 0.05
[tex]Z_{\alpha / 2} = 1.96[/tex] *
* Obtained from the normal standard table.
When introducing these values in the formula shown in the image we obtain:
[tex]0.6 + 1.96 *\sqrt {\frac{0.6*0.4}{300}}[/tex]
[tex]0.6 - 1.96 *\sqrt{\frac{0.6*0.4}{300}}[/tex]
Finally, the confidence interval is:
(0.5446, 0.6554)
