A poll surveyed a random sample of 50 adults. The survey asked the following question: "Do you feel things are going well in the United States these days?" (Assume the only answers are Yes or No). The results are in the table below:

No	Yes	No	No	Yes	Yes	No	Yes	No	Yes
Yes	No	Yes	No	Yes	No	Yes	No	Yes	No
Yes	No	Yes	No	Yes	No	Yes	No	Yes	No
Yes	No	Yes	No	Yes	No	Yes	No	Yes	No
No	No	No	Yes	No	No	No	Yes	Yes	No

A pollster wants to redo the survey and obtain a smaller margin of error. The pollster still wants to create a 95\% confidence interval, but would like to create an estimate with an error rate of at most 3\%. Find the minimum sample size needed to accomplish this. (Round sample size up to the next whole number).



Use the formula:

$n=\frac{\left(z_{\alpha / 2}\right)^2 \cdot p(1-p)}{E^2}$



Estimate $p$ using the sample proportion $\hat{p}$ from the data.