Final answer:
To find the proportion of new cars that are white (p-hat), divide the number of white cars by the total number of cars. To find the proportion of new cars that are not white (q-hat), subtract p-hat from 1.
Step-by-step explanation:
To find p-hat, which is the proportion of new cars that are white, you divide the number of white cars (29) by the total number of cars (100):
p-hat = 29/100 = 0.29
To find q-hat, which is the proportion of new cars that are not white, you subtract p-hat from 1:q-hat = 1 - p-hat = 1 - 0.29 = 0.71
The student's question pertains to finding p-hat and q-hat, which are the estimated proportions of a sample. In this case, p-hat represents the proportion of new cars that are white, and q-hat represents the proportion of new cars that are not white.
To calculate p-hat, you divide the number of white cars by the total number of new cars surveyed. With 29 white cars out of 100 new cars, p-hat is 29/100, which equals 0.29. Consequently, q-hat is found by subtracting p-hat from 1, since q-hat + p-hat must equal 1. Thus, q-hat is 1 - 0.29, or 0.71.