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STAT 225 Spring 2014Graded Homework 4 Solution1.A sample of beer drinkers was taken and each person in the sample was asked toindicate a preference for one of three types of beer: light, regular or dark. The genderof the respondent was also noted. The table shows the number of people by gender andbeer preference.MaleFemaleTOTALLight513990Regular562177Dark25833TOTAL13268200a) Complete the table with the row totals, column totals and an overall total.See the above table.b) What is the probability that a respondent is female? Is this a marginal, conditionalor joint probability?c) Knowing that a respondent prefers light beer, what is the probability that theperson is male? Is this a marginal, conditional or joint probability?d) What question does the Chi-Square Test attempt to answer in the context of thisproblem?1
e) Create a table of expected counts.f) Create a table of partialχ2values.g) What is the value of the chi-square statistic? What are the degrees of freedom forthis data?h) Using alpha = 0.05, state the conclusion of the Chi-Square Test in the context ofthis problem. State your reasoning behind your conclusion.2
2.Using Figures 1 and 2 above answer the following.a) State whether each data set is symmetric, skewed right, or skewed left.Figure 1 is skewed right. Figure 2 is skewed left.b) For each figure, identify letter a, b, and c as the mean, median, mode, range, orstandard deviation. (Choose only one of these per letter. Note: the locations of a,b, and c are approximations.)3