Question

# 2. (Lesson 11) The “Year” variable represents whether each student identified as a first-year student, sophomore,...

2. (Lesson 11) The “Year” variable represents whether each student identified as a first-year student, sophomore, junior, or senior. Use Minitab Express to conduct a chi-square test to determine if the proportions of students who identify as each year are not all equal. Use the five-step hypothesis testing procedure. [25 points]

Step 1: State hypotheses and check assumptions

Step 2:Compute the test statistic

Step 3: Determine the p-value

Step 4: Make a decision (reject or fail to reject the null)

Step 5: State a real world conclusion

Step 1: State hypotheses and check assumptions

H0: the proportions of students who identify as each year are all equal.

H1: Atleast one proportion of students who identify as each year are not equal

Step 2:Compute the test statistic

From Minitab Output

Test statistic Chisquare value = 188.689

Step 3: Determine the p-value

P-value = 0.000

Step 4: Make a decision (reject or fail to reject the null)

Here P-value < alpha 0.05 so we do not accept H0

Step 5: State a real world conclusion

Thus we conclude that  Atleast one proportion of students who identify as each year are not equal

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