Is the number of good friends associated with marital status? For GSS data with marital status measured with the categories (married, widowed, divorced, separated, never married), an ANOVA table reports F = 0.80 based on df1 = 4, df2 = 612.
a. Introduce notation, and specify the null hypothesis and the alternative hypothesis for the ANOVA F test.
b. Based on what you know about the F distribution, would you guess that the test statistic value of 0.80 provides strong evidence against the null hypothesis? Explain.
c. Software reports a P-value of 0.53. Explain how to interpret it.