Good Friends and astrological sign A recent general social survey asked subjects how many good friends they have. Is number of friends associated with the respondents 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 hypothsis for the ANOVA.
b. Based on what you know about 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.