5 Ap Stats Multiple Choice Problem

Question 1 (4 points) (06.05 LC) At a large corporation, 25% of a random sample of male employees have an average salary of $75,000 or higher. A random sample of female employees shows that 20% have an average salary of $75,000 or higher. A representative for the Equal Pay Act wants to determine whether there is evidence of a difference in salaries between males and females. What would she write as the null and alternative hypotheses for this situation? (4 points) O a Ho:P1 - P2 = 0 and Ha:p1 - P2 > 0 Ob Ho:P1 - P2 = 0 and Ha:p1 - P2 0 and Ha:P1 - P2 = 0 Oe Ho:P1 - P2 > 0 and Ha:P1 - Pz * 0(06.05 LC) Which of the following conditions must be met to conduct a two-proportion significance test? (4 points) I. The sample sizes are greater than 20. Il. The probabilities of success multiplied by the sample sizes are greater than one and the probabilities of failure multiplied by the sample sizes are greater than one for each population. Ill. The populations are independent. O a I only Ob II only OC Ill only O d I and II only Oe I, II, and IllQuestion 3 (4 points) (06.05 MC) A new cholesterol medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 25 milligrams of the medication was administered to a simple random sample (SRS) of 50 patients, 17 of them demonstrated a lower cholesterol level. When 65 milligrams of the medication was administered to another SRS of 40 patients, 10 of them demonstrated a lower cholesterol level. Which of the following test statistics is an appropriate hypothesis test? (4 points) O a Z=. ( 0.34-0.25 )-0 0.34 ( 1-0.34 ) 0.25 ( 1-0.25 ) 50 40 Ob Z= (0.34 - 0.25) - 0 0.3(1 -0.3) 0.3(1-0.3) 50 40 O c Z= ( 0.34-0.25 )-0 0.34 ( 1-0.34 ) 0.25 ( 1-0.25 ) 90 90 O d Z= ( 0.34-0.25 )-0 0.3 ( 1-0.3 ) 0.3 (1-0.3 ) 90 90 Oe Z= ( 0.34-0.25 )-0 0.34 ( 1-0.34 ) 0.25 ( 1-0.25 ) 25 65Question 4 (4 points) (06.05 MC) For a hypothesis test of Ho:p1 - P2 = 0 against the alternative Haip1 - p2* 0, the test statistic is found to be 1.8. Which of the following statements can you make about this finding? (4 points) O a The result is significant at both o = 0.05 and o = 0.01. Ob The result is significant at o = 0.05 but not at o = 0.01. OC The result is significant at o = 0.01 but not at a = 0.05. O d The result is not significant at either o = 0.05 or o = 0.01. O e The result is inconclusive because we don't know the value of p.Question 5 (4 points) (06.05 HC) A new online test preparation company compared 3,025 students who had not used its program with 2,150 students who had. Of those students who did not use the online test preparation program, 1,513 increased their scores on the SAT examination compared with 1,100 who did use the program. A significance test was conducted to determine whether there is evidence that the online test preparation company's students were more likely to increase their scores on the SAT exam. What is the p-value for an appropriate hypothesis test? (4 points) a 0 Ob 0.2082 O c 0.4164 O d 0.7198 Oe 1