Question

Superpower Refer to Exercise 24.

(a) What proportion of students in the sample who prefer invisibility as their superpower are from the United States?

(b) What percent of students in the sample who are from the United Kingdom prefer superstrength as their superpower?

Short answer

Part (a)$\frac{37}{67}\approx 0.5522$

Part (b) 10%

Step-by-step solution

Part (a) Step 1. Given information.

The given table from exercise 24 is shown below:

	U.K.	U.S.	Row Total
Fly	54	45	99
Freeze time	52	44	96
Invisibility	30	37	67
Superstrength	20	23	43
Telepathy	44	66	110

Part (a) Step 2. Find the proportion of students who prefer superpower invisibility from the United States.

Total students who prefer invisibility are: 67

Students from the U.S.who prefer invisibility are: 37

Therefore, their proportion is:

$\frac{37}{67}\approx 0.5522$

Part (b) Step 1. Find the percent of students from the United Kingdom who prefer superstrength as their superpower.

Total students from the United Kingdom are:

$54+52+30+20+44=200$

Students from the U.K.who prefer superstrength are: 20

Therefore, their percentage is:

$\frac{20}{200}=0.10\mathrm{or}10\%$