$$ 1 \leftarrow $$ Use the results from a survey of a simple random sample of 1206 adults. Among the 1206 respondents, $$ 89 \% $$ rated themselves as above average drivers. We want to test the claim that $$ \frac{17}{20} $$ 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. 1073 (Round to the nearest whole number as needed) b. Identify the sample proportion and use the symbol that represents it. (Type an integer or a decimal rounded to two decimal places as needed.) (T)

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Let's solve the problem step by step.

### Part (a)
To find the actual number of respondents who rated themselves as above average drivers, we can calculate it using the percentage given.

Given:
- Total respondents = 1206
- Percentage who rated themselves as above average = 89%

The actual number of respondents can be calculated as follows:

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

Substituting the values:

$$
\text{Number of respondents} = 1206 \times \left(\frac{89}{100}\right)
$$

Now, let's calculate this value.
Calculate the value by following steps:
- step0: Calculate:
  $$1206\times \frac{89}{100}$$
- step1: Reduce the numbers:
  $$603\times \frac{89}{50}$$
- step2: Multiply:
  $$\frac{603\times 89}{50}$$
- step3: Multiply:
  $$\frac{53667}{50}$$
The actual number of respondents who rated themselves as above average drivers is approximately $$ 1073 $$ (rounded to the nearest whole number).

### Part (b)
Next, we need to identify the sample proportion, denoted by $$ \hat{p} $$.

The sample proportion can be calculated as follows:

$$
\hat{p} = \frac{\text{Number of respondents who rated themselves as above average}}{\text{Total respondents}}
$$

Substituting the values:

$$
\hat{p} = \frac{1073}{1206}
$$

Now, let's calculate this value and round it to two decimal places.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1073}{1206}$$
The sample proportion $$ \hat{p} $$ is approximately $$ 0.89 $$ (rounded to two decimal places).

### Summary of Results
- **(a)** The actual number of respondents who rated themselves as above average drivers: $$ 1073 $$
- **(b)** The sample proportion $$ \hat{p} $$: $$ 0.89 $$
- **(a)** 1073 respondents rated themselves as above average drivers. - **(b)** The sample proportion $$ \hat{p} $$ is 0.89.

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Part (a)

Part (b)

Summary of Results

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