Question

Suppose a teacher gives her statistics class a​ four-question, multiple-choice quiz at the beginning of the...

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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