Question

In a survey of 299 registered voters, 136 of them wished to see Mayor Waffleskate lose...

  1. In a survey of 299 registered voters, 136 of them wished to see Mayor Waffleskate lose her next election. Construct a 99% confidence interval for the proportion of registered voter who want to see Mayor Waffleskate defeated.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 136 / 299 = 0.455

Z/2 = 2.576

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 2.576 * (((0.455 * 0.545) / 299)

= 0.074

A 99% confidence interval for population proportion p is ,

- E < p < + E

0.455 - 0.074 < p < 0.455 + 0.074

0.381 < p < 0.529

(0.381 , 0.529)

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