Q1) Chi-Square Test for Goodness of Fit (7 points) Two employees at an ice cream store were discussing the popularity of four of the ice cream flavors they have: Vanilla, Chocolate, Mint, and Strawberry. Employee A thought that the four flavors are equally popular, but employee B didn't think so. To settle their debate, they decided to tally the number of customers asking for those flavors for a whole day. There were 40 customers that day: 5 asked for vanilla 15 asked for chocolate 14 asked for Mint 6 asked for strawberry Conduct a Chi-Square Test for Goodness of Fit to answer the research question of whether the four flavors are equally popular, using = .05 as the significance level.

a. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (1 point)

b. State the null and alternative hypotheses in words. (1 point)

c. Calculate X2 statistic. (2 points)

d. Calculate the degree of freedom and then identify the critical value. (1 point)

e. Compare the X2 statistic with the critical value, then report the hypothesis test result, using "reject" or "fail to reject" the null hypothesis in the answer. (1 point)

f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)