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Suppose students are given 5 assignments throughout the course of a semester. The number of assignments...

Suppose students are given 5 assignments throughout the course of a semester. The number of assignments turned in on time, out of those 5 total, can be seen below. The instructor would like to know whether the likelihood of turning in any assignment on time is equivalent for all students, and independent for each assignment.

0 1 2 3 4 5
3 2 11 15 22 20

i. Provide a null hypothesized distribution for this data situation.
ii. Construct a table indicating observed and expected distributions.
iii. Perform the χ2 Goodness-of-Fit test to evaluate your null distribution. Explain the result.
iv. Does this data situation satisfy the assumptions of the χ2 Goodness-of-Fit test?

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