Question

In a simple random sample of 80 patients who saw a certain dentist nine patients had their teeth whitened.

Answer 1

Answer:

The correct option is 1.

Step-by-step explanation:

The total number of patient is 80 and out of these patients 9 patients had their teeth whitened.

The confidence interval is 95%.

The probability of patient had teeth whitened is

$p=\frac{9}{80}$

The z-score for 95%  confidence interval is 1.96.

The confidence limit is defined as

$E=p\pm \sqrt{\frac{p(1-p)}{n}}\times z*$

$E=0.1125\pm \sqrt{\frac{0.1125(1-0.1125)}{80}}\times 1.96$

$E=0.043,0.182$

These values are in percent.

$[0.043\times 100,0.182\times 100]$

$[4.3,18.2]$

Therefore option 1 is correct.