Answer:
the sample size that would limit margin of error is 443
Step-by-step explanation:
The confidence level = 99 percent = 0.99
1 - alpha = 0.99
Alpha = 1 - 0.99
= 0.01
The critical z value for alpha = 0.01 = 2.576
Sample proportion = 0.46
Margin of error E = 0.061
Sample size = p(1-p)(Z/E)²
= 0.46(1-0.46) x (2.576/0.061)²
= 0.46(0.54)(42.23)²
= 0.2484 x 1783.37
= 442.989
= 443
The sample size would be 443
