Suppose a teacher gives her statistics class a four-question, multiple-choice quiz at the beginning of the semester to measure how well prepared they were for the class. The accompanying table shows the number of students who had 0, 1, 2, 3 and 4 questions correct. Using α = 0.05, perform a chi-square test to determine if the number of correct answers per student follows the binomial probability distribution.
Number of Correct Answers per Student |
Frequency |
0 | 4 |
1 | 4 |
2 | 13 |
3 | 10 |
4 | 9 |
Total: 40
1. Calculate the test statistic.
x2 =
Round to two decimal places as needed
2. Critical Value
3. P-value
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