Question

What type of classes do students want to enroll in? That was the question that I wanted to find answers too. I wanted to determine if there was a difference in the class type preference (Live, Online, and Hybrid - which is part live/part online) of students who would be taking the class. I randomly sampled 150 Stat I students and asked them which format they would prefer for their Stats Il class when they took the class. The results were analyzed in the Statistix software and the results are shown below: Multinomial Test Hypothesized Proportions Variable: Expected Observed Frequencies Variable: Observed Hypothesized Observed Expected Chi-Square Category Proportion Frequency Frequency Contribution Live 0.333333 42 50.00 1.28 Hybrid 0.333333 40 50.00 2.00 Online 0.333333 68 50.00 6.48 Overall Chi-Square 9.76 P-Value 0.0076 Degrees of Freedom 2 What conclusion would you make if testing at a=.05? We reject Ho. There is sufficient evidence to indicate the proportions for the three class types are the same. We reject Ho. There is sufficient evidence to indicate at least two proportions for the three class types differ. We fail to reject Ho. There is sufficient evidence to indicate the proportions for the three class types are the same. We fail to reject Ho. There is insufficient evidence to indicate at least two proportions for the three class types differ.

Answer 1

1)

since p value <0.05

We reject Ho. There is sufficient evidence to indicate at least two proportions for the three class types differ.

2)

for chi square test ; since expected value for each cell should be at least 5;

O All expected counts must be at least 5