Question

A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.

The proportion of this city's population in each of the racial/ethnic categories listed is as follows.

We wish to test $H_0$: The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.

Assuming $H_0$is true, what is the expected number of Hispanic drivers who would receive a ticket?

a.$8$

b.$10.36$

c.$11$

d.$11.84$

e.$12$

Short answer

The correct option is (d) i.e.$11.84$.

Step-by-step solution

Given information

We need to find the correct option for the given data.

Explanation

We know that

The sum of the no. of tickets in the sample is,

$69+52+18+9=148$

Now, multiply the sum by the Hispanic proportion i.e.

$148\times 0.08=11.84$

Therefore,

Option (d) is the correct option.