## Answers

Solution :

Given that,

n = 80

x = 7

Point estimate = sample proportion = = x / n = 7 / 80 = 0.0875

1 - = 1 - 0.0875 = 0.9125

At 99% confidence level

= 1 - 99%

=1 - 0.99 =0.01

/2 = 0.005

Z/2 = Z_{0.005 }= 2.576

Margin of error = E = Z_{ / 2} * (( * (1 - )) / n)

E = 2.576 (((0.0875 * 0.9125) / 80)

E = 0.0813

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