Question

Question 19 6 pts For Questions 19-22.consider the following: The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation. Using the data, a political strategist wants to test the daim that the percentage of residents who favor annexation is at least 65% What is the alternative hypothesis? Hap<0.65 O Hapa 065 O Haps 0.65 O Hap-0.65 Hap > 0.65

Answer 1

Given that, n: 1600, p694 = 0.69 We want to test the claim that the percentage residents who favor annexation is at least 65%. 19 The testing hypothesis is given by, Ho! : 0.65 H, D~0.65 :. alternative hypothesis is Hi! PX 0.65 20 Test statistic is given by za Р. Р 0.69 -0.65 plino) 0.65*0.35 1600 (21) {Z = 3.355. value of test statistic is 3.355 The absolute value of critical (table) test statistic is Lerit = 1.645 at 2=0.05 22 p.value associated with the test statistic is 0.07. The conclusion at da0.05 is Here, P-value ;d level of significance, and alternative is right tailed. we reject Ho because p-value is greater than the significance level.