Question

use the results from a survey of a simple random sample of 1235 adults. among the 1235 respondents, 85% rated themselves as above average drivers. we want to test the claim that $\frac{4}{5}$ 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.
1050
(round to the nearest whole number as needed.)
b. identify the sample proportion and use the symbol that represents it.
$\square=\square$
(type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Identify the sample proportion symbol

The symbol for the sample proportion is $\hat{p}$.

Step2: Calculate the sample proportion

The sample proportion $\hat{p}$ is the proportion of respondents in the sample who rated themselves as above - average drivers. Given that the proportion is $85\%$, we convert this percentage to a decimal. $85\%=\frac{85}{100}=0.85$.

Answer:

$\hat{p}=0.85$