# University of California Santa Cruz Heavy Smoker Statistic Questions Picture 1 and 2 apply to the following questions. 1. If a student is randomly chosen

University of California Santa Cruz Heavy Smoker Statistic Questions Picture 1 and 2 apply to the following questions.

1. If a student is randomly chosen from this set, what is the probability they are a Heavy smoker (keep answer in decimal form and round to THREE decimal places)? ____

2. What is the probability that a randomly chosen student Frequently exercises (keep answer in decimal form and round to THREE decimal places)? ___

3. What is the probability that a randomly chosen student is a Heavy smoker AND Frequently exercises (keep answer in decimal form and round to THREE decimal places)? ____

4. What is the probability that a randomly chosen student is a Heavy smoker OR Frequently exercises (keep answer in decimal form and round to THREE decimal places)? ____

5. What is the probability that a randomly chosen student is a Heavy smoker GIVEN that they Frequently exercise (keep answer in decimal form and round to THREE decimal places)? ____

6. What is the probability that a randomly chosen student Frequently exercises GIVEN that they are a Heavy smoker (keep answer in decimal form and round to THREE decimal places)? ____

Suppose these 204 students are a simple random sample of all students at the University of Adelaide. Find a 95% confidence interval for the population proportion of students at the University of Adelaide who Frequently exercise. Note that the formula for the margin of error for a proportion is:

q7 in picture

but recall that we are adding and subtracting the margin of error from p-hat to get the lower and upper confidence levels, so the negative sign is irrelevant. (keep answer in decimal form and round to THREE decimal places):

Lower bound for 95% CI: (_____

8. Upper bound for the 95% CI: ,____)

9. MC: Interpret this confidence interval in the context of the problem (i.e., say something about the proportion students at the University of Adelaide who Frequently exercise).

A There is a 95% probability that the sample proportion of students at the University of Adelaide who frequently exercise falls in this interval.

B. On average, 95% of such intervals would contain the population proportion of students at the University of Adelaide who frequently exercise.

C. There is a 95% probability that the population proportion of students at the University of Adelaide who frequently exercise falls in this interval.

D. On average, 95% of such intervals would contain the sample proportion of students at the University of Adelaide who frequently exercise.

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