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. vegetarian not vegetarian exercise 63 33 dont exercise 27 77 (a) what percentage of the adults exercise? % (b) what percentage of the adults are vegetarian? % (c) what percentage of the adults who are vegetarian exercise? % (d) is there evidence that adults who are vegetarian tend to be exercisers more often than average? yes, because the percentage found in part (c) is much greater than the percentage found in part (a). yes, because the percentage found in part (c) is much greater than the percentage found in part (b). no, because the percentage found in part (c) is about the same as the percentage found in part (a). no, because the percentage found in part (c) is about the same as 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. vegetarian not vegetarian exercise 63 33 dont exercise 27 77 (a) what percentage of the adults exercise? % (b) what percentage of the adults are vegetarian? % (c) what percentage of the adults who are vegetarian exercise? % (d) is there evidence that adults who are vegetarian tend to be exercisers more often than average? yes, because the percentage found in part (c) is much greater than the percentage found in part (a). yes, because the percentage found in part (c) is much greater than the percentage found in part (b). no, because the percentage found in part (c) is about the same as the percentage found in part (a). no, because the percentage found in part (c) is about the same as the percentage found in part (b).

Answer

Explanation:

Step1: Calculate total number of exercisers

The number of adults who exercise is the sum of vegetarians who exercise and non - vegetarians who exercise. So, $63 + 33=96$.

Step2: Calculate percentage of adults who exercise

The percentage of adults who exercise is $\frac{96}{200}\times100% = 48%$.

Step3: Calculate total number of vegetarians

The number of vegetarians is $63 + 27=90$.

Step4: Calculate percentage of adults who are vegetarians

The percentage of adults who are vegetarians is $\frac{90}{200}\times100% = 45%$.

Step5: Calculate percentage of vegetarians who exercise

The percentage of vegetarians who exercise is $\frac{63}{90}\times100% = 70%$.

Step6: Analyze the relationship

The percentage of adults who exercise is $48%$, and the percentage of vegetarians who exercise is $70%$. Since $70%$ (part (c)) is much greater than $48%$ (part (a)), there is evidence that adults who are vegetarian tend to be exercisers more often than average.

Answer:

(a) $48$ (b) $45$ (c) $70$ (d) Yes, because the percentage found in part (c) is much greater than the percentage found in part (a).