a group of 150 adults were asked whether they exercise and whether they are vegetarian. their responses are…

a group of 150 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|39|24|\n|dont exercise|21|66|\n(a) what percentage of the adults exercise? %\n(b) what percentage of the adults are vegetarian? %\n(c) what percentage of the adults who are vegetarian exercise? %\n(d) is there evidence that adults who are vegetarian tend to be exercisers more often than average?\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).\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).

a group of 150 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|39|24|\n|dont exercise|21|66|\n(a) what percentage of the adults exercise? %\n(b) what percentage of the adults are vegetarian? %\n(c) what percentage of the adults who are vegetarian exercise? %\n(d) is there evidence that adults who are vegetarian tend to be exercisers more often than average?\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).\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).

Answer

Explanation:

Step1: Calculate number of adults who exercise

Add the number of exercising vegetarians and non - vegetarians. $39 + 24=63$.

Step2: Calculate percentage of adults who exercise

Use the formula $\text{Percentage}=\frac{\text{Number of exercising adults}}{\text{Total number of adults}}\times100$. So, $\frac{63}{150}\times100 = 42%$.

Step3: Calculate number of vegetarian adults

Add the number of vegetarian adults who exercise and who don't. $39+21 = 60$.

Step4: Calculate percentage of vegetarian adults

Use the formula $\text{Percentage}=\frac{\text{Number of vegetarian adults}}{\text{Total number of adults}}\times100$. So, $\frac{60}{150}\times100=40%$.

Step5: Calculate number of vegetarian adults who exercise

It is 39.

Step6: Calculate percentage of vegetarian adults who exercise

Use the formula $\text{Percentage}=\frac{\text{Number of vegetarian adults who exercise}}{\text{Total number of vegetarian adults}}\times100$. So, $\frac{39}{60}\times100 = 65%$.

Step7: Analyze the evidence

The percentage of adults who exercise is 42% (from part (a)), the percentage of adults who are vegetarian is 40% (from part (b)), and the percentage of vegetarian adults who exercise is 65% (from part (c)). Since 65% (part (c)) is much greater than 42% (part (a)), there is evidence that adults who are vegetarian tend to be exercisers more often than average.

Answer:

(a) 42 (b) 40 (c) 65 (d) Yes, because the percentage found in part (c) is much greater than the percentage found in part (a).