a group of 250 adults were asked whether they exercise and whether they are vegetarian. their responses are…

a group of 250 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|52|63|\n|dont exercise|58|77|\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 250 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|52|63|\n|dont exercise|58|77|\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) 56% (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 number of adults who exercise

Add the number of vegetarian - exercisers and non - vegetarian exercisers: $52 + 63=115$.

Step2: Calculate percentage of adults who exercise

Use the formula $\text{Percentage}=\frac{\text{Number of exercisers}}{\text{Total number of adults}}\times100%$. So, $\frac{115}{250}\times 100% = 46%$.

Step3: Calculate total number of non - vegetarian adults

Add the number of non - vegetarian exercisers and non - vegetarian non - exercisers: $63 + 77 = 140$.

Step4: Calculate percentage of non - vegetarian adults

Use the formula $\text{Percentage}=\frac{\text{Number of non - vegetarians}}{\text{Total number of adults}}\times100%$. So, $\frac{140}{250}\times 100%=56%$.

Step5: Calculate number of non - vegetarian exercisers

It is 63.

Step6: Calculate percentage of non - vegetarian adults who exercise

Use the formula $\text{Percentage}=\frac{\text{Number of non - vegetarian exercisers}}{\text{Total number of non - vegetarians}}\times100%$. So, $\frac{63}{140}\times 100% = 45%$.

Step7: Analyze the evidence

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