Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 64[/tex]
The proportion that choose to vaccinate the teen boys is [tex]\r p = 0.12[/tex]
considering the first statement
The 95% confidence interval is 12% ± the margin of error*standard deviation is false because
The 95% confidence interval is is %12 ± the margin of error
considering the second statement
The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem
np = 64 * 0.12 = 7.68
and this value is less than 10 hence the confidence interval should not be calculated
considering the third statement
A 99% confidence interval will be smaller than the 90% confidence interval is false
This is because as the confidence level increase (for example from 90% to 99%) the margin of error increase which increases the confidence interval
