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.

(round to the nearest whole number as needed.)

Explanation:

Step1: Convert percentage to decimal

The percentage \(79\%\) is converted to decimal as \(0.79\).

Step2: Calculate the number of respondents

Multiply the total number of respondents \(n = 1024\) by the decimal form of the percentage. So, the number of respondents \(=1024\times0.79\).
Using the multiplication \(1024\times0.79=(1000 + 24)\times0.79=1000\times0.79+24\times0.79=790+18.96 = 808.96\).

Answer:

\(809\)