Question

Superpower Refer to Exercise 24.

(a) Find the distribution of superpower preference for the students in the sample from each country (i.e., the United States and the United Kingdom). Make a segmented bar graph to compare these distributions.

(b) Describe what the graph in part (a) reveals about the association between country of origin and superpower preference for the students in the sample.

Short answer

Part (a)

	U.K.	U.S.
Fly	27%	20.93%
Freeze time	26%	20.47%
Invisibility	15%	17.21%
Superstrength	10%	10.70%
Telepathy	22%	30.70%

Part (b)

Telepathy is the popular superpower in the United States, while in the U.K. freeze time and fly are popular and in both countries, superstrength appears to be the least popular superpower.

Step-by-step solution

Part (a) Step 1. Given information.

The given table is:

Part (a) Step 2. Find the distribution of responses for superpower preference.

Total students from the U.S. and U.K. are 215 and 200 respectively.

The distribution of superpower preference is shown below:

	U.K.	U.S.
Fly	$\frac{54}{200}=0.27\mathrm{or}27\%$	role="math" localid="1653404484100" $\frac{45}{215}\approx 0.2093\mathrm{or}20.93\%$
Freeze time	$\frac{52}{200}=0.26\mathrm{or}26\%$	role="math" localid="1653404495976" $\frac{44}{215}\approx 0.2047\mathrm{or}20.47\%$
Invisibility	$\frac{30}{200}=0.15\mathrm{or}15\%$	$\frac{37}{215}\approx 0.1721\mathrm{or}17.21\%$
Superstrength	$\frac{20}{200}=0.10\mathrm{or}10\%$	$\frac{23}{215}\approx 0.1070\mathrm{or}10.70\%$
Telepathy	$\frac{44}{200}=0.22\mathrm{or}22\%$	$\frac{66}{215}\approx 0.3070\mathrm{or}30.70\%$

Part (a) Step 3. Construct a segmented bar graph.

Each bar must be the same width and have the same height as the percentage.

Part (b) Step 1. Describe the association between country of origin and superpower preference.

We observe that telepathy appears to be the most popular superpower in the United States, while freeze time and fly appear to be the most popular superpowers in the United Kingdom.

In both countries, superstrength looks to be the least popular superpower.