Question

The following table shows the distribution of students who passed or failed their introductory statistics course...

The following table shows the distribution of students who passed or failed their introductory statistics course based on attendance. The instructor is interested in knowing whether attendance is related to passing the course. At the 5% level of significance, can you conclude that there is a relationship between attendance and whether or not the student passes the introductory statistics course?

course stat
pass fail total
attended regularly 50 10 60
did not attend regularly 10 30 40
total 60 40 100
Math   Statistics-And-Probability   
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Answer #1

We will conduct a chi-square test of independence.

There is no relationship between attendance and whether or not the student passes the introductory statistics course

There is a relationship between attendance and whether or not the student passes the introductory statistics course

Significance level:

Test statistic

Expected value = mentioned in the parenthesis

Since the P value is less than the significance level, we can reject the null hypothesis. Hence we have evidence that there is a relationship between attendance and whether or not the student passes the introductory

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