Do college athletes have similar majors as non-athletes? A survey asks a group of college students about their majors. It also groups the students by whether they are athletes or not. The researchers want to determine if the distribution of college majors is the same for athletes as for non-athletes. A chi-square Homogeneity Test at the 5% significance level is performed. (a) The null and alternative hypotheses are: H0: The distribution of the two populations are the same. Ha: The distribution of the two populations are not the same. (b) χ20=7.3 (c) Determine the critical value using the following portion of the χ2-table. df12345χ20.102.7064.6056.2517.7799.236χ20.053.8415.9917.8159.48811.070χ20.0255.0247.3789.34811.14312.833χ20.016.6359.21011.34513.27715.086χ20.0057.87910.59712.83814.86016.750

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