Question

b.) find the critical values and rejection regions

c.) find the standardized test statistic, z

d.) decide whether to reject or fail to reject

e.) interpret

In a survey af 1000 drivers from Region A, 855 wear a seat belt. In a survey of 1000 drivers from Region B, 909 wear a seat bet. At a0.10, is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B7 Assume that the samples are random and independent. Complete parts (a) through (e) below (b) Find the critical value(s) and identily the rejection region(s). Select the comect choice below and S in the answer boxes to complete your choice. OA There is one critical value, Zo and one rejection region, z (Round to two decimal places as needed.) OB There is one atical value, z and one rejection region, z (Round to two decimal places as needed) OC There are two critical values, Zg and two rejection regions, z and z (Use a comma to separate answers as needed Round to two decimal places as needed) (e) Find the standardiced test statistic, z z- (Round to two decimal places as needed.)

Answer 1

Ho: P,=P2 Hi :P, < Pa (one failed test) Sample X, -855, n. = 1000 Sample a ng = 1000, Xa=909 Po - 92 - 60-909 310-955] 855 + 909 Tooot luce = 10.888 • Critical value a=0.10 Zx = Zolo = -1982 (using & table] hon sejection / rejection , region / region -282

Test stadistic Z = pP46-9)+(:24) 0.855 -0.909 0-382 x (1-0-882)x (tore taboo) = -3.74498 7--3,74 [7 =-3-54] Since, test Stalistic value is greater than the critical value So, we Reject the Ho] Conclusion I There is a sufficient evidence to support the claim ad a= 0.00 level of significance,