a) Here is the table of observed counts:
The numbers in the ”No” column are simply differences between last column and first column , and the numbers in the last row are sums of columns
b)The expected count for each cell is calculated as
Here is the table of the expected counts:
c) The value of chi-square statistics is
The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level.
If you choose a student at random who eats regularly in the cafeteria, what is the probability that the student is a 10th-grader?
A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses.
Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance. Find
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.
Copy and complete the two-way table so that events A and B are mutually exclusive.
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.
What is the probability that the student is female or has allergies?