Statistics students at a state college compiled the following two-way table from a sample of randomly selected students at their c

Rivka Thorpe 2021-01-28 Answered

Statistics students at a state college compiled the following two-way table from a sample of randomly selected students at their college:
Play chessDon`t play chessMale students25162Female students19148
Answer the following questions about the table. Be sure to show any calculations.
What question about the population of students at the state college would this table attempt to answer?
State H0 and H1 for the test related to this table.

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Expert Answer

Khribechy
Answered 2021-01-29 Author has 100 answers

Step 1: Information from the table
We have given that the two-way table from a sample of randomly selected students at their college. From the table, we can see that there are two attributes. one is gender (Male and female students) and other is choice (Play chess and don't play choice). So, one can ask a question that whether the two attribute dependent or not. It means whether there is a relationship between gender and choice.
Step 2: Formation of H0 and H1
It is clear that the given table is a contingency table of 2 variable (attribute). So, in order to test the relationship between these one can apply chi-square independence of attribute test. In this case, we can define
H0: There is no dependency on the choice of play chess and gender
H1: There is the dependency of choice of play chess and gender

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