SOLUTION: A seatbelt has been tested and found to protect 80% of passenger dummies from severe injury in a large crash testing study. Now researchers want to see if a seat belt constructed f

Question 1118381: A seatbelt has been tested and found to protect 80% of passenger dummies from severe injury in a large crash testing study. Now researchers want to see if a seat belt constructed from new material will work even better.

1) What would be the null and alternative hypotheses for this hypothesis test? Express them both in symbols and in words in the context of this problem.

2) The new seat belt is tested and the P-value is found to be 0.367 with a significance level of 5% (or 0.05). What would you conclude about the new seat belt? Be sure to (1) state your decision regarding the null hypothesis and (2) what this means in the context of the problem.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A seatbelt has been tested and found to protect 80% of passenger dummies from severe injury in a large crash testing study. Now researchers want to see if a seat belt constructed from new material will work even better.
1) What would be the null and alternative hypotheses for this hypothesis test? Express them both in symbols and in words in the context of this problem.
Ho: n-o >= 0
Ha: n-0 < 0
------
Ho:newer - original <= 0
Ha:newer-original > 0
2) The new seat belt is tested and the P-value is found to be 0.367 with a significance level of 5% (or 0.05). What would you conclude about the new seat belt? Be sure to
(1) state your decision regarding the null hypothesis
Since the p-value is greater than 5%, fail to reject Ho.
----------------
and (2) what this means in the context of the problem.
We conclude that the new material does work better at
the 95% level of confidence.
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Cheers,
Stan H.
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