Test for Homogeneity · Exercise 16

For each word problem, use a solution sheet to solve the hypothesis test problem. Go to for the chi-square solution sheet. Round expected frequency to two decimal places.

The Insurance Institute for Highway Safety collects safety information about all types of cars every year, and publishes a report of Top Safety Picks among all cars, makes, and models. presents the number of Top Safety Picks in six car categories for two specific years. Analyze the table data to conclude Year 1 and Year 2. Derive your results at the 5% significance level.

$$\begin{array}{cccccccc}\text{Year Car Type}& \text{Small}& \text{Mid-Size}& \text{Large}& \text{Small SUV}& \text{Mid-Size SUV}& \text{Large SUV}& \text{Row Total}\\ \text{Year 1}& \text{12}& \text{22}& \text{10}& \text{10}& \text{27}& \text{6}& \text{87}\\ \text{Year 2}& \text{31}& \text{30}& \text{19}& \text{11}& \text{29}& \text{4}& \text{124}\\ \text{Column Total}& \text{43}& \text{52}& \text{29}& \text{21}& \text{56}& \text{10}& \text{211}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §11.4 Test for Homogeneity · Exercise 16