We wish to test the null hypothesis that students who do not know the answer guess at random on a particular multiple choice item. For the 4 incorrect alternatives, the choices for a random sample of 24 students were (1) 3; (2) 9; (3) 2; (4) 10. The expected frequency for alternative (2) is
Question
We wish to test the null hypothesis that students who do not know the answer guess at random on a particular multiple choice item. For the 4 incorrect alternatives, the choices for a random sample of 24 students were (1) 3; (2) 9; (3) 2; (4) 10. The expected frequency for alternative (2) is
Solution
The null hypothesis suggests that students are guessing randomly. This means that each of the 4 incorrect alternatives should be chosen with equal probability.
To find the expected frequency for each alternative, you would divide the total number of students by the number of alternatives.
In this case, there are 24 students and 4 alternatives.
So, the expected frequency for each alternative is 24/4 = 6.
Therefore, the expected frequency for alternative (2) is 6.
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