Use the following data to answer the questions posed below.This is data taken from a simple random sample of students in a class. The variables are defined as follows: Student: Student ID. Credits: # of credits earned GPA: Current College GPA Student’s Gender: Male/Female Program:  Program of study Final Exam: Students’ scores on final exam SATM: Students’ SAT math scores The data are as follows student    credits      gpa        gender     program Final Exam   SATM      1 42 3.00 female Business 42.5 410 2 42 3.49 male Business 77.5 440 3 45 3.72 female Business 75.0 390 4 45 3.39 male Business 70.0 550 5 100 3.39 male Arts & Sciences    92.5 560 6 43 3.36 male Arts & Sciences 72.5 600 7 69 2.83 female Business 75.0 460 8 28 2.86 male Arts & Sciences 77.5 520 9 25 3.68 male Arts & Sciences 82.5 600 10 42 1.68 female Business 52.5 540 11 45 2.89 female Business 65.0 440 12 42 3.15 male Business 45.0 550 13 69 3.18 female Business 57.5 480 14 45 3.11 male Business 42.5 590 15 37 2.32 female Arts & Sciences 47.5 440 16 45 2.86 male Business 62.5 590   Suppose now the researcher is interested in the proportion of students in the class who are in a business program.  Compute a point estimate of the population proportion. A recent study reported that the proportion of students who enroll in the class that are in a business program (or plan to be) is at least 60%.  Conduct a hypothesis test, at a significance level of 3%, to refute this researcher’s claim.  Please use the p-value approach.  (explicitly list and perform the steps in this procedure).

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Author:Amos Gilat
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Use the following data to answer the questions posed below.This is data taken from a simple random sample of students in a class. The variables are defined as follows:

  • Student: Student ID.
  • Credits: # of credits earned
  • GPA: Current College GPA
  • Student’s Gender: Male/Female
  • Program:  Program of study
  • Final Exam: Students’ scores on final exam
  • SATM: Students’ SAT math scores

The data are as follows

student    credits      gpa        gender     program Final Exam   SATM     
1 42 3.00 female Business 42.5 410
2 42 3.49 male Business 77.5 440
3 45 3.72 female Business 75.0 390
4 45 3.39 male Business 70.0 550
5 100 3.39 male Arts & Sciences    92.5 560
6 43 3.36 male Arts & Sciences 72.5 600
7 69 2.83 female Business 75.0 460
8 28 2.86 male Arts & Sciences 77.5 520
9 25 3.68 male Arts & Sciences 82.5 600
10 42 1.68 female Business 52.5 540
11 45 2.89 female Business 65.0 440
12 42 3.15 male Business 45.0 550
13 69 3.18 female Business 57.5 480
14 45 3.11 male Business 42.5 590
15 37 2.32 female Arts & Sciences 47.5 440
16 45 2.86 male Business 62.5 590

 

Suppose now the researcher is interested in the proportion of students in the class who are in a business program. 

  1. Compute a point estimate of the population proportion.
  2. A recent study reported that the proportion of students who enroll in the class that are in a business program (or plan to be) is at least 60%.  Conduct a hypothesis test, at a significance level of 3%, to refute this researcher’s claim.  Please use the p-value approach.  (explicitly list and perform the steps in this procedure).
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