Name ______________________ Business Statistics Free Response Questions #9: for Chapter 13 Worth 10 points

Name ______________________ Business Statistics Free Response Questions #9: for Chapter 13 Worth 10 points. Directions: You can either type out answers to these questions then submit a word document or pdf (please no GoogleDoc sharing links or Apple pages files) or you can write out your answer by hand and take a photo (try to avoid HEIC image format, please) or scan the sheet of paper. PLEASE make sure you hand in something that is aligned correctly (not sideways) and clear enough for me to read. 1. The Grinnell Poll surveyed respondents by telephone, drawing a random sample of landlines and another random sample of cell phones. For those numbers that were valid, they report the following: Land Cell No Answer/Busy 525 69 Voicemail 3350 2830 Contact 8410 8601 Give the StatCrunch output and answer the following questions. **Make sure you provide images or screenshots of your StatCrunch output, you will lose points if you don’t. a) Write out the null and alternative hypotheses. b) What are the expected values? b) Compute the χ2 chi squared statistic. c) How many degrees of freedom does it have? d) What do you conclude? 2. After getting losing several times to your little sister in a simple dice game, you suspect that the die she gave you is unfair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness? a) If the die is fair, how many times would you expect each face to show? b) To see if these results are unusual, will you test goodness-of-fit, homogeneity, or independence? c) State your hypotheses. d) Check the conditions. e) How many degrees of freedom are there? f) Find χ2 and the P-value. g) State your conclusion. h) Give the StatCrunch output for this as well. **Make sure you provide images or screenshots of your StatCrunch output, you will lose points if you don’t. Face Count 1 9 2 9 3 8 4 16 5 11 6 7 3. In April and May of 2017, the Higher Ed Research Center asked 2000 U.S. adults and 1000 college presidents whether they would “rate the job the higher education system is doing in providing value for the money spent by students and their families as” Excellent, Good, Only Fair, or Poor. Poor Only Fair Good Excellent U.S. Adults 375 820 706 99 College Presidents 47 182 620 151 Is there a difference in the distribution of responses between U.S. adults and college presidents? a) Is this a test of independence or homogeneity? b) Write appropriate hypotheses. c) Check the necessary assumptions and conditions. d) Find χ2 and the P-value. e) State your conclusion and analysis. Give the StatCrunch output for this as well. **Make sure you provide images or screenshots of your StatCrunch output, you will lose points if you don’t. 4. Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped the Titanic in greater proportion than men. a) Find a 95% confidence interval for the difference in the proportion of women who survived and the proportion of men who survived for the data below. (Assume the passengers on the Titanic were representative of others who might have taken the trip.) b) Using this confidence interval, do you think that survival was independent of whether the person was male or female? Defend your conclusion. c) Give the StatCrunch output for this as well. **Make sure you provide images or screenshots of your StatCrunch output, you will lose points if you don’t. Female Male Total Alive 353 357 710 Dead 137 1354 1491 Total 490 1711 2201