a group of 200 adults were asked whether they exercise and whether they are vegetarian. their responses are…

a group of 200 adults were asked whether they exercise and whether they are vegetarian. their responses are summarized in the following table.\n| |vegetarian|not vegetarian|\n|--|--|--|\n|exercise|65|27|\n|dont exercise|75|33|\n(a) what percentage of the adults exercise? %\n(b) what percentage of the adults are not vegetarian? %\n(c) what percentage of the adults who are not vegetarian exercise? %\n(d) is there evidence that adults who are not vegetarian tend to be exercisers more often than average?\nno, because the percentage found in part (c) is about the same as the percentage found in part (a).\nno, because the percentage found in part (c) is about the same as the percentage found in part (b).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (a).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (b).

a group of 200 adults were asked whether they exercise and whether they are vegetarian. their responses are summarized in the following table.\n| |vegetarian|not vegetarian|\n|--|--|--|\n|exercise|65|27|\n|dont exercise|75|33|\n(a) what percentage of the adults exercise? %\n(b) what percentage of the adults are not vegetarian? %\n(c) what percentage of the adults who are not vegetarian exercise? %\n(d) is there evidence that adults who are not vegetarian tend to be exercisers more often than average?\nno, because the percentage found in part (c) is about the same as the percentage found in part (a).\nno, because the percentage found in part (c) is about the same as the percentage found in part (b).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (a).\nyes, because the percentage found in part (c) is much greater than the percentage found in part (b).

Answer

Answer:

(a) 46% (b) 30% (c) 45% (d) No, because the percentage found in part (c) is about the same as the percentage found in part (a).

Explanation:

Step1: Calculate total exercisers

The number of adults who exercise is (65 + 27=92).

Step2: Calculate percentage of exercisers

The total number of adults is 200. The percentage of adults who exercise is (\frac{92}{200}\times100% = 46%).

Step3: Calculate total non - vegetarians

The number of non - vegetarians is (27+33 = 60).

Step4: Calculate percentage of non - vegetarians

The percentage of non - vegetarians is (\frac{60}{200}\times 100%=30%).

Step5: Calculate exercisers among non - vegetarians percentage

The number of non - vegetarian exercisers is 27. The percentage of non - vegetarian exercisers is (\frac{27}{60}\times100% = 45%).

Step6: Analyze the relationship

The percentage of all exercisers is 46% and the percentage of non - vegetarian exercisers is 45%. Since they are about the same, there is no evidence that non - vegetarians tend to be exercisers more often than average.