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
[tex]p=\frac{9}{80}[/tex]
The z-score for 95% confidence interval is 1.96.
The confidence limit is defined as
[tex]E=p\pm \sqrt{\frac{p(1-p)}{n}}\times z*[/tex]
[tex]E=0.1125\pm \sqrt{\frac{0.1125(1-0.1125)}{80}}\times 1.96[/tex]
[tex]E=0.043,0.182[/tex]
These values are in percent.
[tex][0.043\times 100,0.182\times 100][/tex]
[tex][4.3,18.2][/tex]
Therefore option 1 is correct.
