Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
3. Two-Way Tables and Probability
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Exercise 9 Page 688

Divide each joint frequency by the grand total to obtain the joint relative frequencies. Divide each marginal frequency by the grand total to obtain the marginal relative frequencies.

Wash Their Hands After Using the Public Rest Rooms
Gender Do Do Not Total
Males 0.376 0.111 0.487
Females 0.430 0.083 0.513
Total 0.806 0.194 1
Practice makes perfect
Consider the given two-way table..


Wash Their Hands After Using the Public Rest Rooms
Gender Do Do Not Total
Males 132 39 171
Females 151 29 180
Total 283 68 351

We want to use this table to construct a two-way table that shows the joint and marginal relative frequencies. To do so, we will divide each joint frequency by the grand total to obtain the joint relative frequencies. Similarly, we will divide each marginal frequency by the grand total to obtain the marginal relative frequencies.

Wash Their Hands After Using the Public Rest Rooms
Gender Do Do Not Total
Males 132/351 ≈ 0.376 39/351 ≈ 0.111 171/351 ≈ 0.487
Females 151/351 ≈ 0.430 29/351 ≈ 0.083 180/351 ≈ 0.513
Total 283/351 ≈ 0.806 68/351 ≈ 0.194 351/351 = 1