To find:The 95% confidence interval for the population mean or population proportion and to interpret the confidence interval in context.
The 95% confidence interval for the population proportion is
The confidence interval means that with a probability of 95% the percent of voters that vote for candidate A lies between 46% to 53% (approximately).
Given information:
Given, in a poll of 720 likely voters, 358 indicate they plan to vote for Candidate A.
Calculation:
The sample proportion is given by:
Here,
Plugging the values:
The margin of error at a 95% confidence level is given by:
Here
Plugging the values:
The confidence interval for the population proportion is given by:
Here,
Plugging the values:
Conclusion:
The 95% confidence interval for the population proportion is
The confidence interval means that with a probability of 95% the percent of voters that vote for candidate A lies between 46% to 53% (approximately).
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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