Question

use the results from a survey of a simple random sample of 1024 adults. among the 1024 respondents, 79% rated themselves as above average drivers. we want to test the claim that \\( \frac { 7 } { 10 } \\) 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.
809
(round to the nearest whole number as needed.)
b. identify the sample proportion and use the symbol that represents it.
\\( \hat { p } = 0.79 \\)
(type an integer or a decimal rounded to two decimal places as needed.)
c. for the hypothesis test, identify the value used for the population proportion and use the symbol that represents it.
\\( = \\)
(type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Understand the claim

The claim is about the proportion of adults who rate themselves as above - average drivers. The symbol for the population proportion is \(p\).

Step2: Calculate the population proportion from the fraction

We are given the fraction \(\frac{7}{10}\). To convert this fraction to a decimal, we perform the division \(7\div10\).

$$ \frac{7}{10}=0.7 $$

Answer:

\(p = 0.7\)