a random sample of 100 adults were asked if they pay for monthly subscriptions. with a 95% confidence interval for the true proportion of adults who pay for subscriptions they do not use is .352 to 0.548 what is the true proportion

The true proportion, which is the population proportion of adults who pay for subscriptions they do not use, is represented by the value in the middle of the 95% confidence interval. The confidence interval you've provided is from 0.352 to 0.548.

To find the true proportion, we calculate the midpoint (or average) of the interval:

\[
\text{True proportion} = \frac{0.352 + 0.548}{2} = \frac{0.900}{2} = 0.45
\]

Thus, the estimated true proportion of adults who pay for subscriptions they do not use is **0.45** or **45%**.

Let me know if you'd like any further clarification or if you have more questions!

### Related questions:
1. How can you interpret a confidence interval in terms of sample data?
2. What is the formula for calculating the confidence interval for a population proportion?
3. How does the sample size affect the width of the confidence interval?
4. What is the difference between a point estimate and a confidence interval?
5. How would you interpret a confidence interval if the true proportion was outside the range?

**Tip:** The width of a confidence interval indicates the precision of your estimate; a narrower interval means higher precision, and a wider one means more uncertainty.

A random sample of 100 adults were asked if they pay for monthly subscriptions. With a 95% confidence interval for the true proportion of adults who pay for subscriptions they do not use is .352 to 0.548, what is the true proportion?

Learn how to calculate the true proportion from a 95% confidence interval, with a step-by-step explanation using a sample of 100 adults. The confidence interval is from 0.352 to 0.548, and the estimated true proportion is 0.45 (45%). Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation