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# Application: Spss Exercise

By Author: Sherry Roberts
Total Articles: 150
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Introduction
The exercises for this week required that the student compute a chi-square test as well as a nonparametric test of some hypothesis. The exercises in this paper are on page 328, 343 and 354 from the SPSS textbook by Salkind and Green. In these exercises, the learner demonstrates the understanding and experience gained from class on conducting Mann-Whitney tests and chi-square tests on a given sample. Chi-square tests are very helpful when it comes to qualitative groupings where we want to have one or more categories (Green & Salkind, 2011).The chi-square test will take place to find out if potato chips test better when fried using canola oil, animal fat or baked. The second Mann-Whitney test was on finding out the correlation between hair color and social extroversion. The non-parametric test is, however, possesses lower statistical influence compared to the corresponding parametric procedure (Boslaugh & Watters, 2008).
PG 328: Exercise 1-4 (Chi-square test)
The observed frequency for one sample t-test
Method of cooking potato chips
Observed N Expected N Residual
Fried in animal fat 7 16.0 -9.0
Fried in Canola oil 33 16.0 17.0
Baked 8 16.0 -8.0
Total 48

The table above shows that a significant value exists at for X2 (2, N = 48), and it is 27.13. The means that the observed frequency of chips fried in canola oil of 33 exceeds the values of the anticipated frequency that is 16. On the other hand, the observed frequency of chips fried using animal fat is seven while the one for baked was 8 (n = 8). These values are less than the anticipated frequency that is 16. Below is a follow-up one-sample chi-square test to demonstya5trateb the results are not dependent on the type of cooking using varying proportions.
Number who preferred each type of chip
Observed N Expected N Residual
7 7 16.0 -9.0
8 8 16.0 -8.0
33 33 16.0 17.0
Total 48

The above table demonstrates that the indvidualst6ahqt preferred chips cooked with canola oil and those who preferred the chips fried with animal fat vary greatly. The chance value of the former is 0.33 while the chance value for the latter is 0.67. The value of X2 as per the results is also 27.12, and the p value is less than 0.01 (P

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