A professor is trying to determine if her students guessed on a certain multiple choice question. She expects that if the students guessed, the distribution of answers would be uniform for that question. She compares the observed distribution of answers with the uniform distribution.
Answer Choice A B C D
Expected 10 10 10 10
Observed 14 5 7 19
The first few steps of a chi-square goodness-of-fit test are summarized below.
• H0: The students were guessing.
Ha: The students were not guessing.
• α=0.025
• The test statistic, χ20=13.100.
• The critical value: χ20.025=9.348.
What conclusions can be made? Select all that apply.
Select all that apply:
• We should not reject H0.
• We should reject H0.
• At the 2.5% significance level, there is sufficient evidence to conclude that the students were not guessing (the outcomes do not occur with equal frequencies).
• At the 2.5% significance level, there is not sufficient evidence to conclude that the students were not guessing (the outcomes do not occur with equal frequencies).