To find:(a)The sample proportion,(b) the margin of error, and (c) the 95% confidence interval for the population proportion.
The sample proportion, the margin of error, and the 95% confidence interval for the population proportion are
Given information:
Given, in a survey of 530 randomly selected high school students, 280 preferred watching football to watching basketball.
Calculation:
(a) The sample proportion is given by:
Here,
Plugging the values:
(b) The margin of error at a 95% confidence level is given by:
Here
Plugging the values:
(c) The confidence interval for the population proportion is given by:
Here,
Plugging the values:
Conclusion:
The sample proportion, the margin of error, and the 95% confidence interval for the population proportion are
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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