1. The average height (u) of a population of fifth- graders is u = 60 inches, and the standard deviation (o) equals 5.0 inches. You plan to randomly sample N fifth-graders from a population, measure each child's height, compute X, and conduct the following two-sided hypothesis test: Ho: u = 59 inches HA: u not equal 59 inches Decide which scenario below leads to the larger Type Il Error (all other factors being equal): I. N= 75 OR N = 25 Il. a = 0.01 OR a = 0.05 ANSWER CHOICES: O 1. N=75 2.) a=0.05 O 1. N=75 2.) a=0.01 O 1. N=25 2.) a=0.05 O 1. N=25 2.) a=0.01 O Cannot be Determined 2. You conduct a two-sided hypothesis test (a=0.05), and obtain a Z-score equal to -2.3 (N is large). Which of the following statements are ALWAYS true? I. You reject the null hypothesis H0 II. The resulting p-value is 0.0215 Ill. You have made a Type I Error. ANSWER CHOICES: O l and Ill only O l only O Ill only O All of the Above O l and Il only 3. You conduct a two-sided hypothesis test (a =0.05): Ho: u = 25 and HA: u not equal 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5. The null hypothesis is actually false and u = 22. Determine which of the following statements are true. I. The two-sided p-value is 0.0124. II. You reject the null hypothesis Ho. Ill. You fail to reject Ho and make a Type Il error. ANSWER CHOICES: O l and Il only O Il only O l only O l and Ill only O Ill only 4. You collect N = 200 frogs from a pond and find that 120 of them are female. Compute the one-sided p-value for the hypothesis test: Ho: p= 0.55 HA: p > 0.55 5. You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (a =0.05) for p (the proportion of female frogs in the pond): Ho: p=0.55 HA: p> 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis Ho. Ill. You fail to reject Ho and make a Type II error. ANSWER CHOICES: O None of the Above O Ill only O l only O l and Ill only O Il only