Question

(25) 3. In a ca study of air-bag effectiveness, it was found that in 821 crashes of midsize with air bags, 46 of the crashes resulted in hospitalization of the se a.01 significance level to test the claim that the air-bag hospitalization al rs equipped rat e is lower than the 7.8% rate for crashes of mid-size cars equipped with automatic safety belts. Use the Traditional Method Claim (in wo a) Ho:Pe.ot8一 Hi: P < : 07 % b) Critical value(s):.32 c)Test value: -2.35 . d) Decision (reject / fail to reject Ho): Pe )e 다 e) Wording in terms of claim:"ners emswan eidence to Suppurn claim that the air bhosiehun rte s owen ndround golf seores from a maior tournament is

Answer 1

using minitab

Test of p = 0.078 vs p < 0.078

Sample X N Sample p 99% Upper Bound Z-Value P-Value
1 46 821 0.056029 0.074701 -2.35 0.009

claim the air bag hospitalisation rate is lower than 7.8% rate for crashes

a) H₀; p  = 0.078

H₁ : p <0.078

b)one sided critical value -2.33

c) test value = -2.35

d) since test value is greater than critical value so we will reject null hypothesis

e)there is sufficient evidence that the  air bag hospitalisation rate is lower than 7.8% rate for crashes