I was wondering how do you determine how many pairwise test to use when trying to associate something that uses Yes and no to something that uses 4 groups such as private, public, international, and other?

13 need help with this, please!

How to do t test in rstudio

A report just came out that stated that 22.9%  of all Americans say that vanilla is their favorite ice cream,  23.3% say that chocolate is their favorite, 9.2% favor butter pecan, 8.9% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America.  The table below shows the results of 935 of her patrons' ice cream selections. What can be concluded at the αα = 0.01 significance level? Complete the table by filling in the expected frequencies.  Round your answers to the nearest whole number.Frequencies of Favorite Ice Cream Outcome Frequency Expected Frequency Vanilla 224   Chocolate 228   Butter Pecan 84   Strawberry 70   Other 329   What is the correct statistical test to use?Select an answer Goodness-of-Fit Independence Paired t-test Homogeneity  What are the null and alternative hypotheses?H0:H0:  Favorite ice cream and where the ice cream is purchased are independent. The distribution…