College

We appreciate your visit to Thirty five percent of adult Americans are regular voters A random sample of 250 adults in a medium sized college town was surveyed and it. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Thirty-five percent of adult Americans are regular voters. A random sample of 250 adults in a medium-sized college town was surveyed, and it was found that 110 were regular voters.

Estimate the true proportion of regular voters with 90% confidence and comment on your results.

Answer :

Final answer:

Therefore, we estimate with 90% confidence that the true proportion of regular voters in the college town is between 38.8% and 49.2%.

Explanation:

To estimate the true proportion of regular voters in the college town with 90% confidence, we can use a confidence interval. First, we calculate the sample proportion by dividing the number of regular voters in the sample by the sample size: 110/250 = 0.44. Next, we calculate the standard deviation using the formula sqrt((p-hat * (1-p-hat))/n), where p-hat is the sample proportion and n is the sample size: √((0.44 * (1-0.44))/250) = 0.0314. Using a Z-table or calculator, we find the Z-score for a 90% confidence level is 1.645.

Now, we can calculate the margin of error by multiplying the Z-score by the standard deviation: 1.645 * 0.0314 = 0.0516. To find the lower and upper bounds of the confidence interval, we subtract and add the margin of error to the sample proportion: 0.44 - 0.0516 = 0.3884 (lower bound), 0.44 + 0.0516 = 0.4916 (upper bound).

Therefore, we estimate with 90% confidence that the true proportion of regular voters in the college town is between 38.8% and 49.2%. This means that if we were to repeat the survey multiple times, 90% of the resulting confidence intervals would contain the true proportion of regular voters.

Thanks for taking the time to read Thirty five percent of adult Americans are regular voters A random sample of 250 adults in a medium sized college town was surveyed and it. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada