Please show me how you get the answers. Thanks! A study was undertaken to assess

Question

Please show me how you get the answers. Thanks!
A study was undertaken to assess the quality of cheese as determined by a panel of taste testers. The tasters rated samples of cheese as being acceptable or not acceptable. Those same samples of cheese were analyzed with respect to several variables, one of which was the untransformed concentration of lactic acid, designated as Lactic. A logistic regression was fitted relating the log odds that the cheese was acceptable to the explanatory variable Lactic. The following partial computer output is provided 9. Parameter Estimates Term Estimate Std Error Intercept -10.779932 3.9754177 0.6331925 0.24531656 Lactic What is the meaning of the entry 0.6332 in the above table under Estimate for the variable Lactic? A) The odds ratio for the acceptability of the cheese is 1.88. B) A one-unit increase in the variable Lactic results in a change in the odds that the cheese is acceptable by a factor of 0.6332 C) The odds ratio for the acceptability of the cheese is 0.6332 D) A one-unit increase in the variable Lactic results in a change in the odds that the cheese is acceptable by a factor of 1.88. Both A and D are correct. E) 10. How do men and women compare on a trip to the grocery store? A certain grocery list with a variety of items on it was given to 90 people with a family (who are used to shopping for more than one person). The total bill should be about $250. Each of the 90 people was sent to their grocery store of choice and their bill was categorized as either paying too much (e.g., a bill over $250) or not paying too much (e.g., a bill of $250 or less). The results, by gender, are shown below. Gender Male Female Paid too much? No aid too much? Yes Total Total 31 59 90 37 46 What is the odds ratio of a male paying too much to a female paying too much?

Explanation / Answer

(9) If we calculate the exponential of the coefficient of Lactic and thus get the odds ratio, we get exp(0.6332) = 1.88.
Hence, the correct answer is Option E, that is, both Options A and D are correct.

(10) Let a = 37 (Male, paying too much), b = 22 (Female, paying too much), c = 9 (Male, not paying too much) and d = 22 (Female, not paying too much).
Required Odds ratio = (a * d)/(b * c) = 4.11

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