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Assignment-5_Dataset-A2
This is to find out, how students like different drinks in the campus, and to find out if there is significant difference in their drink choice.
Assignment-5.2
Chi-square test of independence
Assignment_5Question 1
A university researcher conducted a study to examine students’ beverage preferences in order to help campus dining services make informed decisions about drink offerings and resource allocation. Students were asked to select their preferred beverage from four options: tea, coffee, soda, or water. The purpose of this analysis was to determine whether the observed distribution of beverage preferences differed from an expected distribution provided in the research scenario. Because the variable of interest, favorite drink, is categorical with four levels, a Chi-Square Goodness-of-Fit test was conducted. This test is appropriate for categorical data and determines whether the observed frequencies across categories significantly differ from expected frequencies. The null hypothesis stated that there would be no difference between the observed and expected frequencies, while the alternative hypothesis stated that there would be a difference. The results of the chi-square goodness-of-fit test were statistically significant, χ²(3) = 45.53, p < .001, indicating that the observed distribution of beverage preferences was significantly different from the expected distribution. Therefore, the null hypothesis was rejected. Cohen’s W was calculated to assess the strength of the effect, yielding a value of 1.73. According to Cohen’s guidelines, this represents a strong effect size, indicating a substantial difference between the observed and expected distributions. Overall, the findings suggest that students do not prefer the beverages equally and that certain drinks are favored more than others. These results can help campus dining services better allocate resources, reduce waste, and align beverage offerings with student preferences.