To explain: Whether the given statement is true or false.
The given statement “If the percentage of ninth-grade boys who graduate from high school is same as the percentage of ninth-grade girls who graduate, then there exists an association between graduation and gender” is False.
Given:
The statement given is that the percentage of ninth-grade boys who graduate from high school is the same as the percentage of ninth-grade girls who graduate.
Concept used:
Two variables are said to be associated if a change in one variable will result in a change in another variable.
Interpretation:
The percentage of ninth-grade boys graduating from high school is same as the percentage of ninth-grade girls graduating from high school. This might be due to chance and if the percentage of ninth-grade boys graduating changes this may or may not impact the percentage of ninth-grade girls graduating. Thus the given statement stating that there exists an association between the variables graduation and gender as the percentage of boys graduating is same as the percentage of girls graduating is False.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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