STAT 302 Section 503 Fall 2017 Exam 2 Form A Instructor Raanju Sundararajan Name 1 DO NOT open this until you are told to do so 2 You need a 8 5 11 GRAY scantron pencil calculator and you may have one page as a tip sheet formula sheet 3 There are 20 multiple choice questions on this exam each worth 5 points There is NO partial credit Please mark your answers clearly Multiple marks will be counted wrong 4 You will have 60 minutes to finish this exam 5 If you are caught cheating or helping someone to cheat on this exam you both will receive a grade of zero on the exam You must work alone 6 When you are finished please make sure you have filled in your name and marked your FORM A or B and 20 answers then turn in JUST your scantron 7 All the very best ANSWERS 1 B 2 B 3 C 4 C 5 E 6 B 7 B 8 A 9 E 10 B 11 A 12 D 13 A 14 A 15 C 16 D 17 A 18 A 19 A 20 D 1 STAT 302 sec 503 Exam 2 Form A Fall 2017 1 Researchers are testing the alternative hypothesis 4 What type of problem would be used to test the follow166 3 lb Suppose the actual true value of the mean is ing alternative hypothesis Europeans on average 170 lb For the researcher s experimental design samwalk less miles per day than Americans ple size etc the power of their test is 0 2203 Which A Comparing two proportions from independent of the following is TRUE samples A A power of 0 2203 can be interpreted to mean B Comparing two proportions from dependent samthere is a 22 03 chance of selecting a sample ples whose sample mean is larger than 166 3 lb C Comparing two means from independent samples B A power of 0 2203 can be interpreted to mean D Comparing two medians from independent samthere is a 22 03 chance of selecting a sample ples which leads to the decision to reject Ho when the E None of the above true mean is 170 lb C A power of 0 2203 can be interpreted to mean there is a 22 03 chance of selecting a sample which leads to the decision to fail to reject Ho when the true mean is 170 lb 5 While testing for a difference in the proportion of students at A M Group 1 and UT Group 2 who are Republicans H0 p1 p2 0 vs Ha p1 p2 6 0 at 5 level a p value of 0 068 implies D Power equals one minus the probability of a Type I error A The proportion of students in A M and UT who are Republicans are significantly different B A 95 confidence interval for the difference in the proportion would not contain 0 C The A M proportion is higher than the UT proportion D Two of the above are true E None of the above are true E Two of the above are true 2 While testing for a difference in mean SAT scores of students in Texas and Florida H0 1 2 0 vs Ha 1 2 6 0 at 5 level a p value of 0 15 implies A The mean SAT scores of students in Texas and Florida are significantly different B A 95 confidence interval for the difference in the mean scores would contain 0 C The mean SAT scores of students in Texas is higher than Florida D All of the above are true E None of the above are true 6 Do more women w get greater satisfaction from their family life than men m A survey asked 234 men and 270 women if they got a very great deal of satisfaction from their family life What is the correct alternative hypothesis A B C D E 3 Suppose that you are a writer for a university newspaper and due to time constraints you conduct a survey of only 50 randomly selected students You ask them Will you vote during the elections this year and 20 of them say they plan to vote Create a 95 confidence interval for the proportion of students that plan on voting Ha pm pw 0 Ha pm pw 0 Ha pm pw 0 Ha pm pw 6 0 None of the above 7 Suppose that you were interested in determining the proportion of Americans that agreed with the statement that The word super is used excessively in America Suppose that you know roughly half the Americans will agree with this statement determine the sample size needed to estimate the proportion of people that agree for the current year within 0 05 margin of error at 95 confidence A 0 29 0 51 B 0 74 1 C 0 26 0 54 D 0 44 0 68 A 9604 E Cannot be determined B 384 C 4458 D 490 E 10128 2 STAT 302 sec 503 Exam 2 Form A Fall 2017 8 A survey was aimed at determining if teenagers spent 11 A study of bulimia among college women studied the a different amount of money on recreation every month connection between childhood sexual abuse and a meathan middle aged people The output below is the resure of family cohesion the higher the score the greater sult of the study What would be your p value for a the cohesion The sample mean on the family cohesion two sided test based on the confidence interval below scale was 1 9 for 130 sexually abused students s1 2 1 The difference 1 2 has a 95 Confidence Interval and 4 9 for 170 nonabused students s2 3 5 The stanas 20 8 67 7 dard error for comparing the difference of means is A The p value would be less than 0 05 A 0 3255 B The p value would be greater than 0 05 B 2 12 130 3 52 170 C The p value would be equal to 0 05 C 1 92 130 4 92 170 D The p value would be lesser than 0 01 D 0 1812 E None of the above E None of the above 12 Using the data from the previous question construct a 95 confidence interval for the difference of means Use a z critical value 9 A recent Pew research study reports In 2015 17 of all U S newlyweds had a spouse of a different race or ethnicity marking more than a fivefold increase since 1967 according to a new Pew Research Center analysis Later they report that the margin of error for the data from 2015 was 4 percentage points m 0 04 for the proportion CI with 95 confidence Construct a 95 confidence interval for the proportion of all U S newlyweds marrying a spouse of a different race or ethnicity in 2015 A 0 314 0 448 B 2 011 2 950 C 4 992 2 121 D 3 638 2 361 E 2 950 2 110 13 Lesley E …