4. Overtime Rule in Football: Before the overtime rule in the National Football League was changed in 2011, among 460 games, 252 were won by the team that won the coin toss at the beginning of overtime. Using a 0.05 significance level, test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it.

Test the claim. Identify H0 and H1, critical value(s), test statistic, state the decision, and final conclusion. (round all values to three decimal places, as needed.)

H0: P _____ 0.5

A. not equal

B. =

C. >

D. <

H1: P _____ 0.5

A. not equal

B. =

C. >

D. <

Critical value(s) (separatemore than one with a comma) = ___

Test statistic = ___

A. Do not reject H0

B. Reject H0

Final Conclusion:_____________

5. OxyContin: The drug OxyContin(oxycodone) is used to treat pain, but is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with OxyContin and 52 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of OxyContin users developed nausea.

Test the claim. Identify H0 and H1, critical value(s), test statistic, state the decision, and final conclusion. (round all values to three decimal places, as needed.)

H0: P _____ 0.20

A. not equal

B. =

C. >

D. <

H1: P _____ 0.20

A. not equal

B. =

C. >

D. <

Critical value(s) (separatemore than one with a comma) = ___

Test statistic = ___

A. Do not reject H0

B. Reject H0

Final Conclusion:_____________