It is believed that 35% of the US population owns one car, 30% own two cars, 25% own three cars or more, and 10% do not own a car. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference

50 is the answer.

Step-by-step explanation:

35% of U.S population owns a car=

35/100= 0.35

30% owns two cars= 30/100= 0.30

25% owns 3 or more cars= 25/100= 0.25.

The smallest number of people required for the sample to meet the conditions for performing inference is given below:

Here, the minimum percentage is for those who do not own a car = 10 / 100= 0.10

Therefore for each cell, there must be atleast expected 5 counts.

so if n is requisite sample size than

Expected number of people who do not own a car = 0.10 n

that value must be greater than 5

so,

0.10n > or = 5

n>= 5/0.10

n > = 50

so here 50 is the answer.

step-by-step explanation: