I. 1 lapter 10 and 12.3 Time 01:04.55 Submil Qub This Question: 1 pt 6 of 6 (5 c
ID: 3316982 • Letter: I
Question
I. 1 lapter 10 and 12.3 Time 01:04.55 Submil Qub This Question: 1 pt 6 of 6 (5 completo) This Quiz: 6 pts possibl do the data suggest that there is a difference in seat-belt use between drivers 30-39 years old and those 55-047 Caloulate the test statistic z»L](Rand to two decama. paces as needed ) Calculate the Pvalue P.1(Roundtonee decamui places as needed.) Which of the following is the comect conolusion for the hypothesis test OA. Atthe 5% signane wel doro ctHy:the data provide sumont evidence to acept H. Ad the 9% "gacarce level, repoctMo.the data provide s.mert eaderce toami"- Click to select your answes)Explanation / Answer
H0 : p1 = p2
Ha : p1 p2
Number of drivers n1 = 1900
Here number of drivers aged 30-39 year old said to buckle up = 1900 * 0.19 = 361
Proportion p1 = 0.19
Total number of survey driver in age roup 55-64 = 1600
Number of drivers aged 55-64 year old said to buckle up = 499
Proportion p2 = 499/1600 = 0.311875
Pooled estimate p = (361 + 499)/ (1600 + 1900) = 0.2457
Standard error of the pooled proportion seo = sqrt [ p * (1-p) * (1/n1 + 1/n2)]
= sqrt [0.2457 * 0.7543 * (1/1600 + 1/1900) ] = 0.0146
Test statistic
Z = (p1^ - p^2 )/ seo = (0.311875 - 0.19)/0.0146 = 8.3476
P - vlaue = 2 * Pr(Z > 8.3476) = 0.000
At the 5% significance level, we will reject the null hypothesis H0 . The data provide sufficient evidence to accept Ha .