A seatbelt has been tested and found to protect 80% of passenger dummies from se

Question

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 the null and alternative hypotheses be? 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 0.367. What would you conclude about the new seat belt? (Be sure to state your decision regarding the null hypothesis and what this means in the context of the problem.)

Explanation / Answer

here null hypothesis:Ho: proportion of passenger dummies protected from severe injury in large crash is 0.8.

p=0.80

alternate hypothesis:Ha:proportion of passenger dummies protected from severe injury in large crash is greater then 0.8.

p>0.8

2)

as p value is significantly high, We can not reject null hypothesis.

We have insufficient evidence to conclude that proportion of passenger dummies protected from severe injury in large crash is greater then 0.8.

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