For all 3 questions you will be answering parts A, B, C, and D.

Problem 1: Just before the presidential election in November 2008, a local newspaper conducted a poll of residents of a medium-sized city and found that 120 out of a simple random sample of 250 men intended to vote for Barack Obama and 132 out of an SRS of 240 women intended to vote for Obama. Is there convincing evidence that there was a gender difference in Obama's support in this city? Support your conclusion with a test of significance, using = 0.05.

Part A: State your parameters and hypotheses.

Part B: Check your conditions (for both populations, assume the normal conditions are met):

Part C: P-value:

Part D: Conclusion:

Problem 2: Are teenagers going deaf? In a study of 3000 randomly selected teenagers in 1988-1994, 15% showed some hearing loss. In a similar study of 1800 teenagers in 2015-2016, 18.5% showed some hearing loss. Do these data give convincing evidence that the proportion of all teens with hearing loss has increased? Support your conclusion with a test of significance, using = 0.05.

Part A: State your parameters and hypotheses.

Part B: Check your conditions (for both populations, assume the normal conditions are met):

Part C: P-value:

Part D: Conclusion:

Problem 3: Eric and Jenna decided to test if helium-filled balloons deflate faster than air-filled balloons. To find out, they bought 60 balloons and randomly divided them into two piles of 30, filling the first group with helium and the second with air. Then, they measured the circumference of each balloon immediately after being filled and again three days later. The average decrease in circumference of the helium-filled balloons was 26.1 cm with a standard deviation of 2.92 cm. The average decrease of the air-filled balloons was 24.8 cm with a standard deviation of 3.79 cm. Support your conclusion with a test of significance, using = 0.05.

Part A: State your parameters and hypotheses.

Part B: Check your conditions (for both populations):

Part C: P-value:

Part D: Conclusion: