Questions: Use the results from a survey of a simple random sample of 1114 adults. Among the 1114 respondents, 62% rated themselves as above average drivers. We want to test the claim that 11/20 of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. (Round to the nearest whole number as needed.)

Use the results from a survey of a simple random sample of 1114 adults. Among the 1114 respondents, 62% rated themselves as above average drivers. We want to test the claim that 11/20 of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. (Round to the nearest whole number as needed.)
Transcript text: Use the results from a survey of a simple random sample of 1114 adults. Among the 1114 respondents, $62 \%$ rated themselves as above average drivers. We want to test the claim that $\frac{11}{20}$ of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. $\square$ (Round to the nearest whole number as needed.)
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Solution

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Solution Steps

Step 1: Calculate the Actual Number of Respondents

To find the actual number of respondents who rated themselves as above average drivers, we use the formula:

\[ \text{Number of respondents} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Total respondents} \]

Substituting the given values:

\[ \text{Number of respondents} = \left( \frac{62}{100} \right) \times 1114 = 0.62 \times 1114 = 691.68 \]

Rounding to the nearest whole number, we find:

\[ \text{Actual number of respondents} = 691 \]

Final Answer

The actual number of respondents who rated themselves as above average drivers is \\(\boxed{691}\\).

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