Question
Researchers at a prominent university were interested in whether their university's study abroad program increases students' cultural competence (i.e., their ability to work effectively with
Researchers at a prominent university were interested in whether their university's study abroad program increases students' cultural competence (i.e., their ability to work effectively with different cultures). Measuring cultural competence with a test called the Cultural Competence Survey, researchers compared the scores of a group of students who spent the semester abroad, with a group of students who took the equivalent coursework on campus. Assume that the Cultural Competence Survey has demonstrated validity and reliability as a measure of cultural competence. Below are the scores for the two groups.
The hypothesized mean difference is 0. This is the null hypothesis.
The level of significance is .05 (alpha level) and a two-tailed hypothesis.
Study Abroad Group | On-campus Group |
87 | 82 |
79 | 80 |
69 | 64 |
83 | 52 |
57 | 71 |
90 | 37 |
67 | 49 |
54 | 61 |
61 | 82 |
92 | 79 |
63 | 68 |
58 | 55 |
72 | 49 |
81 | 86 |
73 | 73 |
66 | 69 |
87 | 61 |
90 | 72 |
91 | 52 |
82 | 49 |
49 | 61 |
69 | 47 |
58 | 51 |
77 | 60 |
71 | 72 |
93 | 39 |
75 | 42 |
64 | 49 |
81 | 59 |
83 | 67 |
QUESTIONS:
- Why would we use an independent samples t test for this research?
- What is the calculated value of the test statistic (t)?
- What is the associated p-value?
- Is the difference between the two groups statistically significant?
- What can you conclude?
- Are there any design flaws in the study that may bring the results into question? Explain.
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