Before the semester began, Professor Keithley predicted that 15% of his philosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5% an F. At the end of the semester, 14 of Professor Keithley’s philosophy students earned an A, 19 a B, 12 a C, 5 a D, and 2 an F. Use the Chi-Square test and a 0.05 level of significance to determine if Professor Keithley’s predicted percentages were accurate. (State your null and alternative hypothesis, find the critical values and test statistics, make a decision, and write a conclusion based on your results).
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.
Before the semester began, Professor Keithley predicted that 15% of his
philosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%
an F. At the end of the semester, 14 of Professor Keithley’s philosophy students
earned an A, 19 a B, 12 a C, 5 a D, and 2 an F.
Use the Chi-Square test and a 0.05 level of significance to determine if Professor
Keithley’s predicted percentages were accurate. (State your null and alternative
hypothesis, find the critical values and test statistics, make a decision, and write
a conclusion based on your results).
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