Question

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

Two-way tables
ANSWERED
asked 2021-01-28

Statistics students at a state college compiled the following two-way table from a sample of randomly selected students at their college:
\(\begin{array}{|c|c|c|}\hline&\text{Play chess}&\text{Don`t play chess}\\\hline \text{Male students} &25&162\\ \hline \text{Female students}&19&148 \\ \hline \end{array}\\\)
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.

Answers (1)

2021-01-29

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

0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2020-12-09

A random sample of 88 U.S. 11th- and 12th-graders was selected. The two-way table summarizes the gender of the students and their response to the question "Do you have allergies?" Suppose we choose a student from this group at random.

\(\begin{array}{c|cc|c} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text{ Yes } & 19 & 15 & 34 \\ \text{ No } & 24 & 30 & 54 \\ \hline \text{ Total } & 43 & 45 & 88\\ \end{array}\)
What is the probability that the student is female or has allergies?
\((a)\frac{19}{88}\)
(b)\(\frac{39}{88}\)
(c)\(\frac{58}{88}\)
(d)\(\frac{77}{88}\)

asked 2021-07-04

Mutually exclusive versus independent. The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male, and event B: student has blue eyes. \(\text{Gender}\ \text{Eye color}\begin{array}{l|c|c|c} & \text { Male } & \text { Female } & \text { Total } \\ \hline \text { Blue } & & & 10 \\ \hline \text { Brown } & & & 40 \\ \hline \text { Total } & 20 & 30 & 50 \end{array}\)

Copy and complete the two-way table so that events A and B are mutually exclusive.

asked 2021-06-27
Mutually exclusive versus independent. The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male, and event B: student has blue eyes. \text{Gender}\ \text{Eye color}\begin{array}{l|c|c|c} & \text { Male } & \text { Female } & \text { Total } \ \hline \text { Blue } & & & 10 \ \hline \text { Brown } & & & 40 \ \hline \text { Total } & 20 & 30 & 50 \end{array} Copy and complete the two-way table so that events A and B are mutually exclusive.
asked 2020-11-09

The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male and event B: student has blue eyes.
\(\begin{array}{c|cc|c} &\text{Male}&\text{Female}&\text{Total}\\ \hline \text{Blue}&&&10\\ \text{Brown}&&&40\\ \hline \text{Total}&20&30&50 \end{array}\)
Copy and complete the two-way table so that events A and B are mutually exclusive.

...