For each scenario below, state the null and alternative hypothesis. Then use the resulting z-score and p-value to state the test decision and state the conclusion in context.

1.) According to a 2015 college poll, 71.5% of high school seniors in the United States had a driver's license. A sociologist thinks this rate has declined and wants to test this at a level of significance of .

The sociologist takes a sample of 500 students and finds 350 have a driver's license. He runs a hypothesis test and finds a z-score of -0.743 and p = 0.2287.

Test Decision:

Conclusion:

2.) In 2016, the Center for Disease Control and Prevention estimated that the flu vaccine was 73% effective against the influenza B. A doctor suspects that the current flu vaccine may provide a different effectiveness rate.

The doctor takes a sample of 200 vaccinated individuals and finds that 180 of them did not catch the flu this year. He runs a hypothesis test in his calculator and the following information is displayed.

1-PropZTest

z= 5.4153

p= 6.1335

p= 0.9

n= 200

Test Decision:

Conclusion: