Which statement is false about the following two-way table 30, 30/50=60 65? 65/70=93 20,20/50=0.40 5, 5/70=0.07 50,50/50=1 70, 70/70=1

Fatima Katheri

Fatima Katheri

Answered question

2022-05-20

Answer & Explanation

Vasquez

Vasquez

Expert2023-05-14Added 669 answers

To determine which statement is false about the given two-way table, let's carefully analyze the table.
The table represents data on whether a person speaks Spanish or not and whether they are Chinese or not. It provides the counts for each combination of these variables and the corresponding proportions.
Let's examine each statement and check if it is true or false:
1. Statement: Chinese individuals make up 60% of the people who speak Spanish.
Calculation: Chinese individuals who speak SpanishTotal individuals who speak Spanish=3050=0.60.
This statement is true because the calculated proportion is indeed 0.60.
2. Statement: Chinese individuals make up 93% of the people who don't speak Spanish.
Calculation: Chinese individuals who don't speak SpanishTotal individuals who don't speak Spanish=6570=0.93.
This statement is true because the calculated proportion is indeed 0.93.
3. Statement: Not Chinese individuals make up 40% of the people who speak Spanish.
Calculation: Not Chinese individuals who speak SpanishTotal individuals who speak Spanish=2050=0.40.
This statement is true because the calculated proportion is indeed 0.40.
4. Statement: Not Chinese individuals make up 7% of the people who don't speak Spanish.
Calculation: Not Chinese individuals who don't speak SpanishTotal individuals who don't speak Spanish=570=0.07.
This statement is true because the calculated proportion is indeed 0.07.
5. Statement: The total proportion adds up to 1 for both Spanish and Not Spanish.
Calculation: Total individuals who speak SpanishTotal individuals=5050=1 and Total individuals who don't speak SpanishTotal individuals=7070=1.
This statement is true because the calculated proportions are both equal to 1.
After analyzing all the statements, we find that all the statements are true. Therefore, there is no false statement about the given two-way table.

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