A study on exercise habits used a random sample of 2,540 college students (1,220 females and 1,320 males).The study found the following:818 of the females in the sample exercise on a regular basis.924 of the males in the sample exercise on a regular basis.The average time that the 1742 students who exercise on a regular basis (818 + 924) spend exercising per week is 4.2 hours.What is the point estimate for the proportion of all female college students who exercise on a regular basis? (Numbers are rounded to two decimal places as needed.) Incorrect. You need to find what proportion of the females in the sample exercise on a regular basis. It looks like you incorrectly used the total sample size (2,540) in the denominator.xReset this ActivityWhat is the point estimate for the proportion of all college students who exercise on a regular basis? (Numbers are rounded to two decimal places as needed.)
Question
A study on exercise habits used a random sample of 2,540 college students (1,220 females and 1,320 males).The study found the following:818 of the females in the sample exercise on a regular basis.924 of the males in the sample exercise on a regular basis.The average time that the 1742 students who exercise on a regular basis (818 + 924) spend exercising per week is 4.2 hours.What is the point estimate for the proportion of all female college students who exercise on a regular basis? (Numbers are rounded to two decimal places as needed.) Incorrect. You need to find what proportion of the females in the sample exercise on a regular basis. It looks like you incorrectly used the total sample size (2,540) in the denominator.xReset this ActivityWhat is the point estimate for the proportion of all college students who exercise on a regular basis? (Numbers are rounded to two decimal places as needed.)
Solution
To find the point estimate for the proportion of all female college students who exercise on a regular basis, you would divide the number of females who exercise regularly by the total number of females in the sample.
So, the calculation would be: 818 (females who exercise regularly) / 1220 (total females in the sample) = 0.67049
Rounded to two decimal places, the point estimate for the proportion of all female college students who exercise on a regular basis is 0.67 or 67%.
To find the point estimate for the proportion of all college students who exercise on a regular basis, you would divide the total number of students who exercise regularly by the total number of students in the sample.
So, the calculation would be: 1742 (students who exercise regularly) / 2540 (total students in the sample) = 0.68582
Rounded to two decimal places, the point estimate for the proportion of all college students who exercise on a regular basis is 0.69 or 69%.
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