QUESTION IMAGE
Question
the two - way relative frequency table shows the results of a survey on the mayors job approval. suppose a surveyor randomly selects a member of the sample population. use the table of relative frequencies to calculate each probability. express each probability as a decimal.
party affiliation
| republican | democrat | independent | total | |
|---|---|---|---|---|
| disapprove | 0.22 | 0.1 | 0.12 | 0.44 |
| no opinion | 0.03 | 0.07 | 0.04 | 0.14 |
| total | 0.39 | 0.42 | 0.19 | 1 |
sample problem
p(approve)
i can look at the value in the total column and approve row to determine p(approve).
0.42
p(democrat and no opinion)
enter the answer in the space provided. use numbers instead of words.
Step1: Locate relevant cell
In the two - way relative frequency table, we need to find the cell corresponding to "Democrat" in the "Party Affiliation" column and "No Opinion" in the "Do You Approve of the Mayor's Job Performance" row.
Step2: Identify probability value
The value in that cell is the probability $P(\text{Democrat and no opinion})$. From the table, the value is $0.07$.
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$0.07$