 # 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:
$\begin{array}{|ccc|}\hline & \text{Play chess}& \text{Don`t play chess}\\ \text{Male students}& 25& 162\\ \text{Female students}& 19& 148\\ \hline\end{array}\phantom{\rule{0ex}{0ex}}$
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 ${H}^{0}$ and ${H}^{1}$ for the test related to this table.

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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 ${H}^{0}$ and ${H}^{1}$
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
${H}^{0}$: There is no dependency on the choice of play chess and gender
${H}^{1}$: There is the dependency of choice of play chess and gender