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A professor predicts the distribution of grades on the final exam and records on the table below. Calculate the X^2 (Chi-squared) and the p-value based

A professor predicts the distribution of grades on the final exam and records on the table below. Calculate the X^2 (Chi-squared) and the p-value based on the information below and make a decision at a 2% significance level:

Grade Proportion Frequency (Observed) A 0.3 3

B 0.4. 3

C 0.15 4

D 0.1 2

F 0.05 2

X^2 = 5.60 p-value = 0.002 Decision: Reject Ho as there is sufficient evidence to suggest that the observed class grades does not fit the expected grades

X^2 = 0.72 p-value = 0.148 Decision: Fail to reject Ho as there is sufficient evidence to suggest that the observed class grades does fit the expected grades

X^2 = 2.10 p-value = 0.752 Decision: Reject Ho as there is sufficient evidence to suggest that the observed class grades does fit the expected grades

X^2 = 4.48 p-value = 0.345 Decision: Fail to reject Ho as there is sufficient evidence to suggest that the observed class grades does fit the expected grades

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