Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation?| Cents portion of check | Number || ---------------------- | ------- || 0-24 | 30 || 25-49 | 24 || 50-74 | 19 || 75-99 | 27 |Click here to view the chi-square distribution table.The test statistic is [ ]. (Round to three decimal places as needed.) ### Student's t-Distribution Critical Values TableThis table displays critical values from the Student's t-distribution, which are vital for hypothesis testing. The table is structured to show how the critical values change based on degrees of freedom and the chosen significance level.#### Table Layout- **Degrees of Freedom:** Represented in the leftmost column, ranging from 1 to 10.- **Area to the Right of the Critical Value:** These columns represent different significance levels: 0.995, 0.99, 0.975, 0.95, 0.90, and 0.10.Each cell in the table corresponds to a critical value. This value is used to compare against test statistics in hypothesis testing. Specifically, a higher critical value suggests a more stringent significance level.#### Data Description- **Degrees of Freedom 1:** - 0.995: - - 0.99: - - 0.975: 0.001 - 0.95: 0.004 - 0.90: 0.016 - 0.10: 2.706- **Degrees of Freedom 2:** - 0.995: 0.010 - 0.99: 0.020 - 0.975: 0.051 - 0.95: 0.103 - 0.90: 0.211 - 0.10: 4.605- Continued for Degrees of Freedom 3 to 10, showing increasing critical values as the degrees of freedom and the significance level increase.This table aids in determining the statistical significance of test results for varying degrees of freedom and is commonly used in fields such as statistics, data analysis, and experimental research.

Given that: Cent portion of check Number 0-24 30 25-49 24 50-74 19 75-99 27 Level of…

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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