5. Nick is trying to determine what percent of the time he is going to get stuck at the light on the corner of Spring and Cleveland Ave. He determines that he gets stopped 51% of the time out of the first 70 times he keeps track. Test the claim that he gets stuck at the light half of the time. (a) State your null and alternative hypotheses, also label the claim: Hop = 0:50 HAP 20. 50 (b) What are the mean, sd, and p of the sampling distribution? mean = 0.51 SN = PQ-D = 0-5 976 14305 = 0.0598 P = 35.7 2 36 (c) What is the standard score, z? 0 - 1 = 0.51 - 0. 50 = 0. 1672240803 2 0. 1672 SD 0 . 0598 2- 0. 2390457219 (d) What is the P-value for this test? P = 0. 8110702217 20. 8111 (e) Do you reject or fail to reject Ho? We fail to reject the null hypothesis. (f) What is your final conclusion? We fail to reject the null hypothesis, therefor fail to support the claim that Nick gets stop of the time out of the First 70 times he k