A recent General Social Survey asked subjects how many good friends they have. Is number of friends associated with the respondent’s astrological sign (the 12 symbols of the Zodiac)? The ANOVA table for the GSS data reports F = 0.61 based on df1 = 11, df2 = 813.
a. Introduce notation, and specify the null hypothesis and alternative hypothesis for the ANOVA.
b. Based on what you know about the F distribution, would you guess that the test statistic value of 0.61 provides strong evidence against the null hypothesis? Explain.
c. Software reports a P-value of 0.82. Explain how to interpret this.