Use the results from a survey of a simple random sample of 1224 adults. Among the 1224 ​respondents, 85​% rated themselves as above average drivers. We want to test the claim that four fifths of adults rate themselves as above average drivers. Complete parts​ (a) through​ (c).

Question content area bottom

Part 1 **a.** Identify the actual number of respondents who rated themselves as above average drivers.

To find the actual number of respondents who rated themselves as above average drivers, we use the percentage provided and apply it to the total number of respondents.

Given:
- Total number of respondents = 1224
- Percentage who rated themselves as above average drivers = 85%

Now calculate:

\[
\text{Number of respondents who rated themselves as above average} = 1224 \times \left(\frac{85}{100}\right) = 1224 \times 0.85
\]

\[
\text{Number of respondents} = 1040.4
\]

Since the number of respondents must be a whole number, we round it to:

\[
\text{Number of respondents} = 1040
\]

Thus, **1040** respondents rated themselves as above average drivers.

Would you like further details on this? Here are 5 related questions:
1. What is the margin of error in surveys of this type?
2. How do we interpret the claim that four-fifths of adults rate themselves as above average drivers?
3. What is a confidence interval, and how could it apply here?
4. How can sample size affect the accuracy of survey results?
5. What statistical test can be used to compare the survey result with the claim?

**Tip:** Always round survey data logically, especially when dealing with real-world counts, like respondents.

Use the results from a survey of a simple random sample of 1224 adults. Among the 1224 respondents, 85% rated themselves as above average drivers. We want to test the claim that four fifths of adults rate themselves as above average drivers. Complete parts (a) through (c). Part 1 a. Identify the actual number of respondents who rated themselves as above average drivers.

Analyze a survey of 1224 adults where 85% rated themselves as above average drivers. This problem covers percentage calculations and rounding methods, and explores the comparison of survey results with statistical claims. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation