Chapter 15, Problem 4P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Data from the department of motor vehicles indicate that 80% of all licensed drivers are older than age 25.

**a.**In a sample of*n*= 60 people who recently received speeding tickets. 38 were older than 25 years and the other 22 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use α = .05.**b.**In a sample of*n =*60 people who recently received parking tickets. 43 were older than 25 years and the other 17 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use α = .05.

**a.**

To determine

**To find:** The age distribution for the given sample is significantly different from the distribution for the population of licensed drivers.

Explanation

**Given info:**

In a sample of 60 people who received speeding tickets, 38 were of age 25 and older and 22 were of age 25 and younger. Data from the Department of Motor Vehicles indicate

that 80% of all licensed drivers are older than age 25, use

**Calculation:**

Step 1:

Null Hypothesis:

Alternate Hypothesis:

Step 2: For the given sample, degrees of freedom equals:

With

Step 3:

The proportion of licensed driver older than 25 is 0.8(that is, 80%) and proportion of those younger than 25 is 0.2.

The formula to calculate expected frequency is:

Substituting respective values of proportion and

**b.**

To determine

**To find:** The age distribution for the given sample is significantly different from the distribution for the population of licensed drivers.

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