Question

A simple random sample of 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 107 responded that they did. Determine if more than half of all drivers drive a car made in this country.

Answer 1

More than half of all drivers drive a car made in this country is a TRUE statement.

Explanation:

The total drivers in the random sample = 200 drivers

The number of drivers who drive the car created in the country = 107 drivers

Let us find the half of the drivers in the sample space.

⇒
`(1)/(2) * (\textrm{Total drivers in the sample space} )   = (1)/(2) * (200)  = 100`

⇒ The half number of drivers in the sample space =100

But due to the given data,

The number of drives who drive the car created in the country is 107.

Also, 107 > 100

⇒ The number of drives who drive the car created in the country > The half number of drivers.

Hence, more than half of all drivers drive a car made in this country is a TRUE statement.