**Hypothesis Testing**A random sample of Americans were categorized according to their happiness and their income level. The results are found below. Perform the hypothesis test to determine if there is a relationship between income and happiness using a 1% level of significance.| Income Level | Happy | Unhappy | Total ||-----------------|-------|---------|-------|| Low income | 390 | 337 | 727 || Middle income | 952 | 423 | 1375 || High income | 604 | 131 | 735 || Total | 1946 | 891 | 2837 |**Hypotheses**- **H0**: Income and happiness are [Select] - **HA**: Income and happiness are [Select]**Expected Values**- The number of low-income people who are expected to be happy is [Select]- The number of middle-income people who are expected to be unhappy is [Select]- The number of high-income people who are expected to be unhappy is [Select]**Test Statistics**- The test statistic is [Select].- The degrees of freedom to use is [Select]. This image appears to show a portion of a form related to a statistical analysis of income and happiness. ### Table DataThe table shows groups and corresponding figures:- **High Income:** 604, 131, 735- **Total:** 1946, 891, 2837### Hypotheses- **H0 (Null Hypothesis):** Income and Happiness are [Select]- **HA (Alternative Hypothesis):** Income and Happiness are [Select]### Questions for Analysis- The number of low-income people who are expected to be happy is [Select]- The number of middle-income people who are expected to be unhappy is [Select]- The number of high-income people who are expected to be unhappy is [Select]### Statistical Values- The test statistic is [Select]- The degrees of freedom to use is [Select]- The critical value is [Select]- The p-value is closest to [Select]### Conclusion- The conclusion is [Select]- Therefore, the income and happiness are [Select]### InstructionsComplete the form by selecting the appropriate options for each statement to infer the relationship between income levels and happiness based on statistical data.This form might be part of a larger educational task aimed at teaching statistical methods, such as hypothesis testing and interpretation of data results.

H0: Income and Happiness are independent HA: Income and Happiness are dependent

Answered: A random sample of Americans were…

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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A random sample of Americans were categorized according to their happiness and their income level. The results are found below. Perform the hypothesis test that there is a relationship between income and happiness using 1% level of significance.