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A professor of Education is interested in the relationship between students' visits to office hours held by professors and their final grades in the course.

A professor of Education is interested in the relationship between students' visits to office hours held by professors and their final grades in the course. She has obtained voluminous data from Hardknocks University regarding these two variables. These data are cross-tabulated below.

Visits During Office Houses

Grade

None

One or Two

Three or More

C or worse

527

540

438

B

512

526

465

A

480

509

511

She hypothesizes that there is a statistically significant relationship between these two variables. Help the professor by answering the question, are the two variables related?

To that end, do the following:

  1. Observed Chi-Square
  2. Indicate degrees of freedom
  3. Critical Chi-Square (the one from the table)
  4. Indicate whether this information allows you to reject the null hypothesis that there is no relationship between the two variables.

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