Estimate the p-value for this test. The performance of students at a local community was recorded and categorized based on the student’s faculty. The gathered data was then analyzed by a statistician, and the results obtained using MINITAB are shown below:| | Low | Average | High | Total ||-------------|-----|---------|------|-------|| Science | 12 | 30 | 52 | 94 || | (15.67) | (29.24) | (49.09) | || Humanities | 14 | 20 | 30 | ** || | (10.67) | (19.91) | (33.42) | || Law | 4 | 6 | 12 | 22 || | (*) | (6.84) | (11.49) | || **Total** | 30 | 56 | 94 | 180 |- **Expected counts are printed below observed counts.**- The symbol (**) indicates omitted totals for this category.- The symbol (*) indicates omitted values or placeholders.**Chi-sq (Chi-square) calculation:**- \( 0.858 + 0.020 + \text{***} + \)- \( 1.042 + 0.000 + 0.350 + \)- \( 0.030 + 0.104 + 0.023 = 2.600 \)The table presents observed and expected counts of student performance categorized into three faculties: Science, Humanities, and Law. The chi-square statistic is calculated to be 2.600, indicating how the observed counts compare to the expected counts.

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Description: Estimate the p-value for this test. The performance of students at a local community was recorded and categorized based on the student’s faculty. The gathered data was then analyzed by a statistician, and the results obtained using MINITAB are shown

The test statistic is 2.600. The degrees of freedom is, df=r-1c-1=3-13-1=2×2=4 The degrees of freedom is 4. Computation of p-value: The p-value of χ2-distribution at 4 degrees of freedom can be obtained using the excel formula “=CHISQ.DIST.RT(2.60,4)”. The p-value is 0.6268. Thus, the p-value of the test is 0.6268.

Answered: Estimate the p-value for this test.

Math

Statistics

Estimate the p-value for this test.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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