A firm has been hired to assess the electral chances of a canidate for public office....

A firm has been hired to assess the electral chances of a canidate for public office. it selected a random sample of 109 likely coters and created a 99% confidence interval. The interval indicated that the canidate would get between 47.1% and 54.6% of the vote on election day. you have been hired to create a new poll that reduces the width of this confidence interval.

A. what would you strategies would you recommend?

B. Explain your answer with reference to the formula for confidence intervals.

Solutions

Expert Solution

a) There are 2 ways to reduce the confidence interval here:

Increasing the sample size decreases the margin of error and hence decreases the width of the confidence interval. Therefore we can increase the sample size here.
For more level of confidence of the interval, more is the margin of error and hence more is the width, therefore we can reduce the confidence level here to get a comparatively narrow confidence interval.

b) The above points can be seen from the confidence interval formula as:

Clearly greater the sample size n, lower is the margin of error, narrower is the confidence interval. Also lower the confidence level, lower is the value of critical z value and hence lower is the margin of error and hence narrower is the confidence interval.

orchestra answered 1 year ago

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