Are student-athletes at Division I universities poorer students than non-athletes? The National College Athlete Association (NCAA) measures the academic outcomes of student-athletes with the Graduation Success Rate (GSR) – the percentage of eligible athletes who graduate within six years of entering college. According to NCAA, the GSR for all scholarship athletes at Division I institutions is 63%. It is well known that the GSR for all students at Division I colleges is 60%. Suppose the NCAA report was based on a sample of 500 student-athletes, of which 315 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes at Division I institutions differs from 60%? Test using a =.05. a. What is the parameter of interest? b. State the hypotheses. c. What test statistic will you use and why? Explain.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Please help by showing all workings and explanations

Table II
Normal Curve Areas
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.0000
.0040
.0080
.0120
.0160
.0199
.0239
.0279
.0319
.0359
.1
.0398
.0438
.0478
.0517
.0557
.0596
.0636
.0675
.0714
.0753
.2
.0793
.0832
.0871
.0910
.0948
.0987
.1026
.1064
.1103
.1141
.1517
.1879
.3
.1179
.1217
.1255
.1293
.1331
.1368
.1406
.1443
.1480
.4
.1554
.1591
.1628
.1664
.1700
.2054
.1736
.1772
.1808
.1844
.5
.1915
.1950
.1985
.2019
.2088
.2123
2157
2190
.2224
.2257
2291
.2324
2422
.2486
2357
.2673
.2967
.6
.2389
.2454
.2517
.2549
.7
.2704
.2580
.2881
.2611
.2642
2734
.2764
.2794
.2823
.3106
.3365
.2852
.8
.2910
.2939
.2995
.3023
.3051
.3078
.3133
.9
3159
3186
.3212
.3238
.3264
3289
.3315
.3340
.3389
1.0
.3413
.3438
.3461
.3485
.3508
.3531
.3554
.3577
3599
.3621
1.1
.3643
3665
.3686
.3708
3729
.3749
.3770
.3790
3810
.3830
.4015
.4177
.4319
.4441
.3944
3962
.3997
.4162
4306
1.2
.3849
3869
.3888
.3907
.3925
3980
.4032
4192
.4049
4207
4082
4236
4370
.4099
4251
.4131
.4279
1.3
.4066
.4115
.4147
1.4
4222
.4265
.4292
1.5
4332
4345
.4357
.4382
4394
.4406
.4418
.4429
1.6
4452
4463
.4474
.4484
.4495
.4505
.4515
.4525
.4535
.4545
.4582
.4664
.4732
1.7
4554
.4564
.4573
4591
4599
.4608
.4616
4625
.4633
.4686
.4706
1.8
1.9
2.0
.4641
.4649
.4656
.4671
4678
.4693
.4699
.4713
.4719
.4726
.4738
.4744
4750
.4756
4761
.4767
4772
4778
.4783
.4788
.4793
4798
.4803
.4808
4812
.4817
2.1
4821
.4826
4830
4834
.4838
.4842
.4850
4854
.4846
4881
.4857
2.2
4861
4864
.4868
4871
.4875
.4878
4887
.4884
.4911
.4890
2.3
.4893
4896
.4898
.4901
4904
.4906
.4909
.4913
.4916
4931
.4948
2.4
4918
.4920
4922
4934
.4936
4925
.4943
4927
4929
4932
2.5
.4938
.4940
.4941
.4945
.4946
.4949
4951
.4952
2.6
4953
.4955
.4956
4957
.4959
.4960
4961
.4962
4963
4964
2.7
.4965
.4966
.4967
.4968
4969
.4970
.4971
.4972
4973
.4974
.4977
4978
.4984
4980
4986
2.8
.4974
.4975
4976
.4977
4979
.4979
.4981
2.9
4981
4982
.4982
4983
.4984
4985
4985
.4986
3.0
.4987
.4987
.4987
.4988
.4988
.4989
4989
.4989
4990
.4990
Transcribed Image Text:Table II Normal Curve Areas .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 .1517 .1879 .3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .4 .1554 .1591 .1628 .1664 .1700 .2054 .1736 .1772 .1808 .1844 .5 .1915 .1950 .1985 .2019 .2088 .2123 2157 2190 .2224 .2257 2291 .2324 2422 .2486 2357 .2673 .2967 .6 .2389 .2454 .2517 .2549 .7 .2704 .2580 .2881 .2611 .2642 2734 .2764 .2794 .2823 .3106 .3365 .2852 .8 .2910 .2939 .2995 .3023 .3051 .3078 .3133 .9 3159 3186 .3212 .3238 .3264 3289 .3315 .3340 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 3599 .3621 1.1 .3643 3665 .3686 .3708 3729 .3749 .3770 .3790 3810 .3830 .4015 .4177 .4319 .4441 .3944 3962 .3997 .4162 4306 1.2 .3849 3869 .3888 .3907 .3925 3980 .4032 4192 .4049 4207 4082 4236 4370 .4099 4251 .4131 .4279 1.3 .4066 .4115 .4147 1.4 4222 .4265 .4292 1.5 4332 4345 .4357 .4382 4394 .4406 .4418 .4429 1.6 4452 4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545 .4582 .4664 .4732 1.7 4554 .4564 .4573 4591 4599 .4608 .4616 4625 .4633 .4686 .4706 1.8 1.9 2.0 .4641 .4649 .4656 .4671 4678 .4693 .4699 .4713 .4719 .4726 .4738 .4744 4750 .4756 4761 .4767 4772 4778 .4783 .4788 .4793 4798 .4803 .4808 4812 .4817 2.1 4821 .4826 4830 4834 .4838 .4842 .4850 4854 .4846 4881 .4857 2.2 4861 4864 .4868 4871 .4875 .4878 4887 .4884 .4911 .4890 2.3 .4893 4896 .4898 .4901 4904 .4906 .4909 .4913 .4916 4931 .4948 2.4 4918 .4920 4922 4934 .4936 4925 .4943 4927 4929 4932 2.5 .4938 .4940 .4941 .4945 .4946 .4949 4951 .4952 2.6 4953 .4955 .4956 4957 .4959 .4960 4961 .4962 4963 4964 2.7 .4965 .4966 .4967 .4968 4969 .4970 .4971 .4972 4973 .4974 .4977 4978 .4984 4980 4986 2.8 .4974 .4975 4976 .4977 4979 .4979 .4981 2.9 4981 4982 .4982 4983 .4984 4985 4985 .4986 3.0 .4987 .4987 .4987 .4988 .4988 .4989 4989 .4989 4990 .4990
Are student-athletes at Division I universities poorer students than non-athletes? The
National College Athlete Association (NCAA) measures the academic outcomes of
student-athletes with the Graduation Success Rate (GSR) – the percentage of eligible
athletes who graduate within six years of entering college. According to NCAA, the GSR
for all scholarship athletes at Division I institutions is 63%. It is well known that the GSR
for all students at Division I colleges is 60%. Suppose the NCAA report was based on a
sample of 500 student-athletes, of which 315 graduated within six years. Is this sufficient
information to conclude that the GSR for all scholarship athletes at Division I institutions
differs from 60%? Test using a =.05.
a. What is the parameter of interest?
b. State the hypotheses.
c. What test statistic will you use and why? Explain.
d. Calculate the value of the test statistic.
e. Rejection region:
f. Conclusion:
g. Construct a 95% confidence interval for the parameter of interest and interpret your
result.
Transcribed Image Text:Are student-athletes at Division I universities poorer students than non-athletes? The National College Athlete Association (NCAA) measures the academic outcomes of student-athletes with the Graduation Success Rate (GSR) – the percentage of eligible athletes who graduate within six years of entering college. According to NCAA, the GSR for all scholarship athletes at Division I institutions is 63%. It is well known that the GSR for all students at Division I colleges is 60%. Suppose the NCAA report was based on a sample of 500 student-athletes, of which 315 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes at Division I institutions differs from 60%? Test using a =.05. a. What is the parameter of interest? b. State the hypotheses. c. What test statistic will you use and why? Explain. d. Calculate the value of the test statistic. e. Rejection region: f. Conclusion: g. Construct a 95% confidence interval for the parameter of interest and interpret your result.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman