In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss a market researcher for an automaker who is studying consumer preferences for styling features of larger sedans. Buyers, who were classified as "first-tim buyers or "repeat" buyers, were asked to express their preference for one of two types of styling-European styling or Japanes styling. Of 40 first-time buyers, 11 preferred European styling and 29 preferred Japanese styling. Of 60 repeat buyers, 43 prefer European styling and 17 preferred Japanese styling. (a) Set up a contingency table for these data. Buyers First-time Repeat Total European Xx^2 = Style Japanese Total (b) Test the hypothesis that buyer status (repeat versus first-time) and styling preference are independent at the .05 level of significance. What do you conclude? (Round your answer to 3 decimal places.) HO: independence.

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A: We will divide 55/5 first  Using long division 55/5=11

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A: The equation is given by,

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A: Given,   sec-1(-2)   Put x =sec-1(-2) Thus x ∈0, π   Now, sec(x) = -2