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}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B9%7D%7B80%7D)
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*](https://tex.z-dn.net/?f=E%3Dp%5Cpm%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5Ctimes%20z%2A)
![E=0.1125\pm \sqrt{\frac{0.1125(1-0.1125)}{80}}\times 1.96](https://tex.z-dn.net/?f=E%3D0.1125%5Cpm%20%5Csqrt%7B%5Cfrac%7B0.1125%281-0.1125%29%7D%7B80%7D%7D%5Ctimes%201.96)
![E=0.043,0.182](https://tex.z-dn.net/?f=E%3D0.043%2C0.182)
These values are in percent.
![[0.043\times 100,0.182\times 100]](https://tex.z-dn.net/?f=%5B0.043%5Ctimes%20100%2C0.182%5Ctimes%20100%5D)
![[4.3,18.2]](https://tex.z-dn.net/?f=%5B4.3%2C18.2%5D)
Therefore option 1 is correct.