Question

The Arizona Department of Transportation (ADOT) is considering changing statewide speed limits from 65 mph to 75 mph. They wish to perform analysis on p, the proportion of Arizona residents that favor this change. In order to prove that a majority of residents favor the change, ADOT wishes to test the following hypotheses using a level of significance of 0.05. Ho!p = 0.5 H,:p > 0.5 ADOT wishes to design the test to have a power of 90% if the true population proportion is equal to 0.55.

Answer 1

n z = * W: 0.8225 5858 1.e.) ما CA - . Answer Summarized the information given in the problemy © we have already developed the test statistic Sn (ß-P) Ho N (0, 1) VP (1-P) Critical region given by (+); pê x 0.5 + { > 0.52815 Conclusion: On the basis of part (b), Ê = 0.5373 > 0.5281, we reject the Ho at 220.05 and believe that population proportion is greater than ½ = PHO (Z* s observedz) ENN(61) under Ho, observed Z= 1858 (0.5373-0.5) vo.5 40.5 = 2.1852 1-PHO (Z* <2.1852) = 1-0 (8.1852) - 1-0.9857 = 0.0143 Conclusion: Since R-value ad=805, we reject Ho at 220.05 please kindly Up- vote Thank you @ P-value = Pho (2* 72.1852) K2=0:05 X Please