Question

Out of 400 people sampled, 64 preferred Candidate A. Based on this, you will estimate what proportion of the voting population ( p p ) prefers Candidate A. Use technology to find a 95% confidence level, and give your answers as decimals, to four places. [,]

Answer 1

Out of 400 people sampled, 64 preferred Candidate A. Based on this, you will estimate what proportion of the voting population prefers Candidate A.

Solution::

The favourable cases are 64 and sample size is 400

i.e, X=64 and N=400

The proportion of the voting population prefers Candidate A is given by

Now we will find 95% confidence interval for population proportion.

Cl=confidence interval

The formula for confidence interval for population proportion is given by

Here, the are given by

[ round to 4-decimal place]

The 95% confidence interval for population proportion is (0.1241,0.1959)