The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allled Health Row Total 8 40 39 25 35 96 154 IN 63 79 EN IS ES 115 154 54 22 45 132 70 39 Column Total 266 121 519 A USE SALT Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H: Myers-Briggs type and area of study are independent. H,: Myers-Briggs type and area of study are not independent. O Ho: Myers-Briggs type and area of study are independent. H,: Myers-Briggs type and area of study are independent. O Ho: Myers-Briggs type and area of study are not independent. H,: Myers-Briggs type and area of study are independent. O Ho: Myers-Briggs type and area of study are not independent. H,: Myers-Briggs type and area of study are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) 28.217 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O normal