**Chi-square Distribution Table**This table provides critical values of the chi-square distribution for different degrees of freedom and significance levels. Use this table to find the critical value for your test to determine the statistical significance of your results.- **Column Headers**: Represent the significance levels (0.995, 0.99, 0.975, 0.95, 0.90, 0.10), which correspond to the area to the right of the critical value. - **Row Headers**: Represent the degrees of freedom, ranging from 1 to 10.- **Table Values**: Each cell contains the critical value of the chi-square statistic corresponding to the specific degree of freedom and significance level.| Degrees of Freedom | 0.995 | 0.99 | 0.975 | 0.95 | 0.90 | 0.10 ||---------------------|--------|-------|--------|------|------|-------|| 1 | - | - | 0.001 | 0.004| 0.016| 2.706 || 2 | 0.010 | 0.020 | 0.051 | 0.103| 0.211| 4.605 || 3 | 0.072 | 0.115 | 0.216 | 0.352| 0.584| 6.251 || 4 | 0.207 | 0.297 | 0.484 | 0.711| 1.064| 7.779 || 5 | 0.412 | 0.554 | 0.831 | 1.145| 1.610| 9.236 || 6 | 0.676 | 0.872 | 1.237 | 1.635| 2.204| 10.645|| 7 | 0.989 | 1.239 | 1.690 | 2.167| 2.833| 12.017|| 8 | 1.344 | 1.646 | 2.180 | 2.733| 3.490| 13.362|| 9 | 1.735 **Hypothesis Testing on Cents Portions of Checks**A person randomly selected 100 checks and categorized the cents portions into four distinct ranges. The goal was to test if these categories were equally likely using a significance level of 0.025. The hypothesis was that the first category (0-24 cents) would show a disproportionately high frequency due to many checks being for whole dollar amounts.**Categories and Observed Frequencies:**- **0-24 cents:** 60 checks- **25-49 cents:** 10 checks- **50-74 cents:** 15 checks- **75-99 cents:** 15 checksTo assess this hypothesis, one would use a chi-square test. The reader can find more details by consulting the chi-square distribution table linked in the original resource.**Instructions:**Calculate the test statistic by comparing the observed frequencies with the expected frequencies under the null hypothesis of equal likelihood. Enter the computed test statistic value, rounded to three decimal places, in the designated field.**Conclusion:**Based on the test results, it will be determined whether the initial hypothesis of a disproportionately high frequency in the first category holds true, considering the specified significance level.

Given information: The given information is, Cents portion of the check 0-24 25-49 50-74 75-99…

Answered: Conduct the hypothesis test and provide…

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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