For 95% confidence interval we can calculate the true proportion as;

`P = barp+-1.96sqrt((barp(1-barp))/n)`

Where;

P = true proportion of perry como fans

`barp` = Observed proportion of perry como fans

n = sample size

In the above equation 1.96 stands for 95% confidence interval.

If you need 90% confidence...

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For 95% confidence interval we can calculate the true proportion as;

`P = barp+-1.96sqrt((barp(1-barp))/n)`

Where;

P = true proportion of perry como fans

`barp` = Observed proportion of perry como fans

n = sample size

In the above equation 1.96 stands for 95% confidence interval.

If you need 90% confidence interval you should use 1.65 and for 99% confidence interval 2.58 respectively.

According to our data;

`barp = 56% = 0.56`

`n = 982`

`P = 0.56+-1.96sqrt((0.56(1-0.56))/982)`

For upper range P = 0.576 = 57.6%

For lower range P = 0.544 = 54.4%

**So the true proportion of perry como fans is between 54.4%-57.6%.**

**Further Reading**