A researcher is concerned about the level of knowledge possessed by university s
ID: 3323676 • Letter: A
Question
A researcher is concerned about the level of knowledge possessed by university students regarding United States history. Students completed a high school senior level standardized U.S. history exam. Major for students was also recorded. Data in terms of percent correct is recorded below for 32 students. Compute the appropriate test for the data provided below. (file provided majors.sav majors.xlsx) Education Business/Management 62 81 75 58 67 48 26 36 Behavioral/Social Science 42 52 31 80 Fine Arts 80 57 87 64 28 29 62 45 72 49 68 39 79 40 15 71 68 76 Calculate the mean test performance for each group What test will you perform to test the equality of these four means? What would be the null hypothesis and alternative hypothesis for this study? Use SPSS (or r) to perform your analysis (alpha - 0.05) Paste your results belovw What were your degrees of freedom (to calculate the p value)? What is the p value for your test? Which of the groups exhibit a statistically significant difference based on post hoc tests?Explanation / Answer
SOlution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: 1 = 2 = 3 = 4
Alternative hypothesis: At-least one of the is not equal.
Formulate an analysis plan. For this analysis, the significance level is 0.05.
Analyze sample data.
F statistics is given by:-
F = 3.968
Fcritical = 3.098
The P-value = 0.02274
Interpret results. Since the P-value (0.02274) is less than the significance level (0.05), we have to reject the null hypothesis.
Conclusion:-
Reject H0, There is sufficient evidence for significant differences between the three kinds
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