Problem 2. A poll was taken this year asking college students if they considered themselves overweight (let us refer to the population this year as population 1). A similar poll was taken five years ago (let us refer to the population 5 years ago as population 2). Results are summarized below. Has the proportion of self-identified overweightincreasedsignificantlyover the 5 year? Let= .05. Answer question 2.1 to question 2.9 regarding problem 2.

Sample Size

Number Considered Themselves Overweight

Present Sample (1)

300

150

Previous sample (2)

275

121

Question 2.1. The sample proportion difference in problem 2 follows which of the following probability distribution?

Group of answer choices

Normal distribution

t distribution

Binomial distribution

Standard normal distribution

Question 2.2. What is the standard deviation of sample proportion difference in problem 2?

Question 2.3. What should be the Null hypothesis for problem 2?

Group of answer choices

p_1 p_2

p_1 = p_2

p_1 p_2

p_1 p_2

Question 2.4. What should be the Alternative hypothesis for problem 2?

Group of answer choices

p_1 > p_2

p_1 < p_2

p_1 p_2

p_1 p_2

Question 2.5. What are the test statistics for problem 2?

Question 2.6. What is the p-value of the test statistics for problem 2?

Question 2.7. If = 0.01 is used, what is the critical value? (for multiple values, enter the positive one)

Question 2.8. If = 0.01 is used, what is the conclusion of the hypothesis test for problem 2?

Group of answer choices

Fail to reject the Null hypothesis.

Reject the Null hypothesis

Fail to reject the alternative hypothesis.

Reject the alternative hypothesis

Question 2.9. = 0.01 is used, what is the interpretation of the hypothesis test conclusion in problem 2?

Group of answer choices

There is no significant increase of proportion of students who consider themselves overweight.

There is a significant increase of proportion of students who consider themselves overweight.