Answer:
0.4064
Step-by-step explanation:
Number of adults sampled (n) = 500 strikes
Z-score for a 95% confidence interval (Z) = 1.960
Proportion that said that lounging at the beach was their "dream vacation.’ (p) = 0.45
The lower confidence bound (L) for a confidence interval of a proportion is determined by the following expression
[tex]L=p-Z*\sqrt{\frac{p*(1-p)}{n}}[/tex]
Applying the given data:
[tex]L=0.45-1.960*\sqrt{\frac{0.45*(1-0.45)}{500}}\\ L=0.4064[/tex]
The lower confidence bound for the proportion of U.S. adults who consider lounging at the beach to be their dream vacation would equal to 0.4064.
