At a school pep rally, a group of sophomore students organized a free raffle for prizes. They claim that they put the names of all of the students in the school in the basket and that they randomly drew 36 names out of this basket. (THIS is the TOTAL number of winners) Of the prize winners, 6 were freshmen, 14 were sophomores, 9 were juniors, and 7 were seniors. The results do not seem that random to you. You think it is a little fishy that sophomores organized the raffle and also won the most prizes. Your school is composed of 30% freshmen, 25% sophomores, 25% juniors, and 20% seniors. (So this would be the expected proportion of each class that should win the prizes….) a. Create a table displaying this data. b. What are the expected frequencies of winners from each class? (Again, make the table.) c. Conduct a significance test to determine whether the winners of the prizes were distributed throughout the classes as would be expected based on the percentage of students in each group. Report your Chi Square and p values. d. What do you conclude?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
At a school pep rally, a group of sophomore students organized a free raffle for prizes. They claim that they put the names of all of the students in the school in the basket and that they randomly drew 36 names out of this basket. (THIS is the TOTAL number of winners) Of the prize winners, 6 were freshmen, 14 were sophomores, 9 were juniors, and 7 were seniors.
The results do not seem that random to you. You think it is a little fishy that sophomores organized the raffle and also won the most prizes.
Your school is composed of 30% freshmen, 25% sophomores, 25% juniors, and 20% seniors. (So this would be the expected proportion of each class that should win the prizes….)
a. Create a table displaying this data.
b. What are the expected frequencies of winners from each class? (Again, make the table.)
c. Conduct a significance test to determine whether the winners of the prizes were distributed throughout the classes as would be expected based on the percentage of students in each group.
Report your Chi Square and p values.
d. What do you conclude?
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Hello, I sent a question on this yesterday and no answer - how can I enter this data in spss?
Note, this is the same question from yesterday which was deducted leaving my balance as 28, so I expect it will remain the same since you did not reply adn I am writing the same question again.
Thanks
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