According to the National Highway Traffic Safety Administration, 80% of all U.S. drivers use their seat belts. A statistician decides to test this claim against the suspicion that the percentage is too high. The statistician randomly surveys 1500 U.S. drivers and determines that only 1170 drivers stated they use their seat belts when driving. The statistician decides to perform the 5 step hypothesis test at = 5% to determine if it is reasonable to reject the National Highway Traffic Safety Administration's claim. I. State the hypotheses (in words & symbols): H0: _____________________________________________________________________________________ Ha: ___________________________________________________________________________________ II. Determine the model to test H0 a) Can you use a normal distribution for the Hypothesis Testing model to perform this test? Please explain your answer. If not, then what distribution could you use as the Hypothesis Testing model? _____________________________________________________________________________________ b) Using the appropriate notation, state the MEAN & STD ERROR of the sampling distribution: Mean: (to 2 decimal places) _____________________________________________________________ STD Error: ( to 4 decimal places) __________________________________________________________

III. Determine the Decision Rule: State the decision rule: _________________________________________________________________ IV. Analyze the sample data: Using the appropriate notation, state the following: sample result (to 4 decimal places) is: ___________________________________________________ p-value (to 4 decimal places) is: ________________________________________________________ test statistic (to 2 decimal places) is: ____________________________________________________

Draw & Label the Hypothesis Testing Model below showing the decision rule, critical value(s) & test statistic on the diagram.

V. State the Conclusion: